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Supergravity: foundations and applications
https://cds.cern.ch/record/1340535
Ferrara, SCeresole, AMon, 28 Mar 2011 13:30:17 GMThttps://cds.cern.ch/record/1340535Extremal black hole flows and duality invariants
https://cds.cern.ch/record/1340534
Extremal black holes in Maxwell-Einstein supergravities with scalar fields can be obtained as solutions of first order flow equations even when they are not supersymmetric, provided one identifies a suitable superpotential W entering the effective potential, and driving the evolution of the scalar fields. We briefly review the main ideas for the construction of W in terms of duality invariants of N = 2 special geometry and we comment on its properties in wider contexts.Ceresole, AMon, 28 Mar 2011 13:23:21 GMThttps://cds.cern.ch/record/1340534State-space Geometry, Statistical Fluctuations and Black Holes in String Theory
https://cds.cern.ch/record/1335312
We study the state-space geometry of various extremal and nonextremal black holes in string theory. From the notion of the intrinsic geometry, we offer a new perspective of black hole vacuum fluctuations. For a given black hole entropy, we explicate the intrinsic state-space geometric meaning of the statistical fluctuations, local and global stability conditions and long range statistical correlations. We provide a set of physical motivations pertaining to the extremal and nonextremal black holes, \textit{viz.}, the meaning of the chemical geometry and physics of correlation. We illustrate the state-space configurations for general charge extremal black holes. In sequel, we extend our analysis for various possible charge and anticharge nonextremal black holes. From the perspective of statistical fluctuation theory, we offer general remarks, future directions and open issues towards the intrinsic geometric understanding of the vacuum fluctuations and black holes in string theory. Keywords: Intrinsic Geometry; String Theory; Physics of black holes; Classical black holes; Quantum aspects of black holes, evaporation, thermodynamics; Higher-dimensional black holes, black strings, and related objects; Statistical Fluctuation; Flow Instability. PACS: 02.40.Ky; 11.25.-w; 04.70.-s; 04.70.Bw; 04.70.Dy; 04.50.Gh; 5.40.-a; 47.29.KyBellucci, StefanoTiwari, Bhupendra NathFri, 11 Mar 2011 08:38:57 GMT11 Mar 2011arXiv:1103.2064https://cds.cern.ch/record/1335312Freudenthal Duality and Generalized Special Geometry
https://cds.cern.ch/record/1331909
Freudenthal duality, introduced in L. Borsten, D. Dahanayake, M. J. Duff and W. Rubens, Phys.Rev. D80, 026003 (2009), and defined as an anti-involution on the dyonic charge vector in d = 4 space-time dimensions for those dualities admitting a quartic invariant, is proved to be a symmetry not only of the classical Bekenstein-Hawking entropy but also of the critical points of the black hole potential. Furthermore, Freudenthal duality is extended to any generalized special geometry, thus encompassing all N > 2 supergravities, as well as N = 2 generic special geometry, not necessarily having a coset space structure.Ferrara, SergioMarrani, AlessioYeranyan, ArmenFri, 25 Feb 2011 07:22:15 GMT25 Feb 2011arXiv:1102.4857https://cds.cern.ch/record/1331909State-space geometry, non-extremal black holes and Kaluza-Klein monopoles
https://cds.cern.ch/record/1328841
We examine the statistical nature of the charged anticharged non-extremal black holes in string theory. From the perspective of the intrinsic Riemannian Geometry, the first principle of the statistical mechanics shows that the stability properties of general nonextremal nonlarge charged black brane solutions are divulged from the positivity of the corresponding principle minors of the space-state metric tensor. Under the addition of the Kaluza-Klein monopoles, a novel aspect of the Gaussian fluctuations demonstrates that the canonical fluctuations can be ascertained without any approximation. We offer the state-space geometric implication for the most general non-extremal black brane configurations in string theory.Bellucci, StefanoTiwari, Bhupendra NathMon, 14 Feb 2011 20:26:37 GMT14 Feb 2011arXiv:1102.2391https://cds.cern.ch/record/1328841Consistent truncations with massive modes and holography
https://cds.cern.ch/record/1325254
We review the basic features of some recently found consistent Kaluza-Klein truncations including massive modes. We emphasize the general ideas underlying the reduction procedure, then we focus on type IIB supergravity on 5-dimensional manifolds admitting a Sasaki-Einstein structure, which leads to half-maximal gauged supergravity in five dimensions. Finally, we comment on the holographic picture of consistency.Cassani, DavideDall'Agata, GianguidoFaedo, Anton FFri, 28 Jan 2011 15:15:46 GMT28 Jan 2011arXiv:1101.5312https://cds.cern.ch/record/1325254Strong Interactions, (De)coherence and Quarkonia
https://cds.cern.ch/record/1324645
Quarkonia are the central objects to explore the non-perturbative nature of non-abelian gauge theories. We describe the confinement-deconfinement phases for heavy quarkonia in a hot QCD medium and thereby the statistical nature of the inter-quark forces. In the sense of one-loop quantum effects, we propose that the "quantum" nature of quark matters follows directly from the thermodynamic consideration of Richardson potential. Thereby we gain an understanding of the formation of hot and dense states of quark gluon plasma matter in heavy ion collisions and the early universe. In the case of the non-abelian theory, the consideration of the Sudhakov form factor turns out to be an efficient tool for soft gluons. In the limit of the Block-Nordsieck resummation, the strong coupling obtained from the Sudhakov form factor yields the statistical nature of hadronic bound states, e.g. kaons and Ds particles.Bellucci, StefanoChandra, VinodTiwari, Bhupendra NathWed, 26 Jan 2011 14:58:20 GMT26 Jan 2011arXiv:1101.4745https://cds.cern.ch/record/1324645Two-Centered Magical Charge Orbits
https://cds.cern.ch/record/1323250
We determine the two-centered generic charge orbits of magical N = 2 and maximal N = 8 supergravity theories in four dimensions. These orbits are classified by seven U-duality invariant polynomials, which group together into four invariants under the horizontal symmetry group SL(2,R). These latter are expected to disentangle different physical properties of the two-centered black-hole system. The invariant with the lowest degree in charges is the symplectic product (Q1,Q2), known to control the mutual non-locality of the two centers.D'Auria, RiccardoFerrara, SergioMarrani, AlessioTrigiante, MarioAndrianopoli, LauraWed, 19 Jan 2011 13:21:50 GMT19 Jan 2011arXiv:1101.3496https://cds.cern.ch/record/1323250Vacuum stability, string density of states and the Riemann zeta function
https://cds.cern.ch/record/1317585
We study the distribution of graded degrees of freedom in classically stable oriented closed string vacua and use the Rankin-Selberg transform to link it to the finite one-loop vacuum energy. In particular, we find that the spectrum of physical excitations not only must enjoy asymptotic supersymmetry but actually, at very large mass, bosonic and fermionic states must follow a universal oscillating pattern, whose frequencies are related to the zeros of the Riemann zeta-function. Moreover, the convergence rate of the overall number of the graded degrees of freedom to the value of the vacuum energy is determined by the Riemann hypothesis. We discuss also attempts to obtain constraints in the case of tachyon-free open-string theories.Angelantonj, CarloCardella, MatteoElitzur, ShmuelRabinovici, EliezerThu, 23 Dec 2010 10:27:02 GMT23 Dec 2010arXiv:1012.5091https://cds.cern.ch/record/1317585D-brane non-perturbative effects and geometric deformations
https://cds.cern.ch/record/1316543
We study how non-perturbative dynamics on D-branes affects the ten-dimensional geometry. We show that a gaugino condensate changes the complex and the symplectic structures of the original manifold by deforming the supersymmetry conditions. The cases of D5, D6 and D7-branes are discussed in detail. In the latter case we find the explicit form of the resulting back-reacted background at linear order in the gaugino condensate.Dymarsky, AnatolyMartucci, LucaTue, 21 Dec 2010 09:52:25 GMT21 Dec 2010arXiv:1012.4018https://cds.cern.ch/record/1316543Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
https://cds.cern.ch/record/1316237
We investigate the existence of supersymmetric static dyonic black holes with spherical horizon in the context of N= 2 U(1) gauged supergravity in four dimensions. We analyze the conditions for their existence and provide the general first-order flow equations driving the scalar fields and the metric warp factors from the asymptotic AdS4 geometry to the horizon. We work in a general duality-symmetric setup, which allows to describe both electric and magnetic gaugings. We also discuss the attractor mechanism and the issue of moduli (de-)stabilization.Dall'Agata, GianguidoGnecchi, AlessandraMon, 20 Dec 2010 09:45:22 GMT20 Dec 2010arXiv:1012.3756https://cds.cern.ch/record/1316237Scalar Moduli, Wall Crossing and Phenomenological Predictions
https://cds.cern.ch/record/1313970
We present the scalar moduli stabilization from the perspective of the real intrinsic geometry. In this paper, we describe the physical nature of the vacuum moduli fluctuations of an arbitrary Fayet configuration. For finitely many abelian scalar fields, we show that the framework of the real intrinsic geometry investigates the mixing between the marginal and threshold vacua. Interestingly, we find that the phenomena of wall crossing and the search of the stable vacuum configurations, pertaining to $D$-term and $F$-term scalar moduli, can be accomplished for the abelian charges. For given vacuum expectation values of the moduli scalars, we provide phenomenological aspects of the vacuum fluctuations and phase transitions in the supersymmetry breaking configurations.Bellucci, StefanoTiwari, Bhupendra NathTue, 14 Dec 2010 08:32:40 GMT14 Dec 2010arXiv:1012.2615https://cds.cern.ch/record/1313970Dual multiplets in N=4 superconformal mechanics
https://cds.cern.ch/record/1313681
We propose Lagrangian formulations of a three-particles translation invariant $N=4$ superconformal mechanics based on the standard and twisted $(1,4,3)$ supermultiplets. We show that in the appropriate set of coordinates, in which the bosonic kinetic terms for each of the two cases take conformally-flat forms, the corresponding models produce just similar physical systems with the flipped angular part of bosonic potential $U(x)\rightarrow 1/U(x)$. This flipping looks so simple only being written in the ``angle'' variable, while in the standard variables it looks more complicated to preserve the superconformal symmetry. We demonstrate at both the superfield and the component level, how familiar $N=4$ supersymmetric 3-particles models, including $3-Calogero$, ${\it BC_2}$ and ${\it G_2}$ ones, can be constructed with twisted supermultiplets. We also present some new explicit examples of 3-dimensional superconformal mechanics.Bellucci, StefanoKrivonos, SergeySutulin, AntonMon, 13 Dec 2010 08:12:25 GMT13 Dec 2010arXiv:1012.2325https://cds.cern.ch/record/1313681Five-dimensional N=4 supersymmetric mechanics
https://cds.cern.ch/record/1313622
We perform an $su(2)$ Hamiltonian reduction in the bosonic sector of the $su(2)$-invariant action for two free $(4,4,0)$ supermultiplets. As a result, we get the five dimensional \Nf supersymmetric mechanics describing the motion of an isospin carrying particle interacting with a Yang monopole. Some possible generalizations of the action to the cases of systems with a more general bosonic action constructed with the help of the ordinary and twisted \Nf hypermultiplets are considered.Bellucci, StefanoKrivonos, SergeySutulin, AntonMon, 13 Dec 2010 08:12:19 GMT13 Dec 2010arXiv:1012.2253https://cds.cern.ch/record/1313622N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models with Isospin Variables
https://cds.cern.ch/record/1313619
We provide a Lagrangian formulation of \Nf supersymmetric mechanics describing the motion of an isospin carrying particle on conformal to hyper-K\"{a}hler spaces in a non-Abelian background gauge field. In two examples we discuss in details, this background field is identified with the field of BPST instantons in the flat and Taub-NUT spaces.Bellucci, StefanoKrivonos, SergeySutulin, AntonMon, 13 Dec 2010 08:12:19 GMT13 Dec 2010arXiv:1012.2250https://cds.cern.ch/record/1313619String Theory and The Velo-Zwanziger Problem
https://cds.cern.ch/record/1310886
We examine the behavior of the leading Regge trajectory of the open bosonic string in a uniform electromagnetic background and present a consistent set of Fierz-Pauli conditions for these symmetric tensors that generalizes the Argyres-Nappi spin-2 result. These equations indicate that String Theory does bypass the Velo-Zwanziger problem, i.e. the loss of causality experienced by a massive high-spin field minimally coupled to electromagnetism. Moreover, we provide some evidence that only the first Regge trajectory can be described in isolation and show that the open-string spectrum is free of ghosts in weak constant backgrounds. Finally, we comment on the roles of the critical dimension and of the gyromagnetic ratio.Porrati, MassimoRahman, RakiburSagnotti, AugustoWed, 01 Dec 2010 20:10:51 GMT01 Dec 2010arXiv:1011.6411https://cds.cern.ch/record/1310886Two-Center Black Holes Duality-Invariants for stu Model and its lower-rank Descendants
https://cds.cern.ch/record/1310283
We classify 2-center extremal black hole charge configurations through duality-invariant homogeneous polynomials, which are the generalization of the unique invariant quartic polynomial for single-center black holes based on homogeneous symmetric cubic special Kaehler geometries. A crucial role is played by an horizontal SL(p,R) symmetry group, which classifies invariants for p-center black holes. For p = 2, a (spin 2) quintet of quartic invariants emerge. We provide the minimal set of independent invariants for the rank-3 N = 2, d = 4 stu model, and for its lower-rank descendants, namely the rank-2 st^2 and rank-1 t^3 models; these models respectively exhibit seven, six and five independent invariants. We also derive the polynomial relations among these and other duality invariants. In particular, the symplectic product of two charge vectors is not independent from the quartic quintet in the t^3 model, but rather it satisfies a degree-16 relation, corresponding to a quartic equation for the square of the symplectic product itself.Marrani, AlessioOrazi, EmanueleStora, RaymondYeranyan, ArmenFerrara, SergioMon, 29 Nov 2010 18:04:04 GMT29 Nov 2010arXiv:1011.5864https://cds.cern.ch/record/1310283On Real Intrinsic Wall Crossings
https://cds.cern.ch/record/1307421
We study moduli space stabilization of a class of BPS configurations from the perspective of the real intrinsic Riemannian geometry. Our analysis exhibits a set of implications towards the stability of the D-term potentials, defined for a set of abelian scalar fields. In particular, we show that the nature of marginal and threshold walls of stabilities may be investigated by real geometric methods. Interestingly, we find that the leading order contributions may easily be accomplished by translations of the Fayet parameter. Specifically, we notice that the various possible linear, planar, hyper-planar and the entire moduli space stabilities may easily be reduced to certain polynomials in the Fayet parameter. For a set of finitely many real scalar fields, it may be further inferred that the intrinsic scalar curvature defines the global nature and range of vacuum correlations. Whereas, the underlying moduli space configuration corresponds to a non-interacting basis at the zeros of the scalar curvature, where the scalar fields become un-correlated. The divergences of the scalar curvature provide possible phase structures, viz., wall of stability, phase transition, if any, in the chosen moduli configuration. The present analysis opens up a new avenue towards the stabilizations of gauge and string moduli.Bellucci, StefanoTiwari, Bhupendra NathTue, 16 Nov 2010 13:16:56 GMT16 Nov 2010arXiv:1011.3406https://cds.cern.ch/record/1307421Topics in Cubic Special Geometry
https://cds.cern.ch/record/1304543
We reconsider the sub-leading quantum perturbative corrections to N=2 cubic special Kaehler geometries. Imposing the invariance under axion-shifts, all such corrections (but the imaginary constant one) can be introduced or removed through suitable, lower unitriangular symplectic transformations, dubbed Peccei-Quinn (PQ) transformations. Since PQ transformations do not belong to the d=4 U-duality group G4, in symmetric cases they generally have a non-trivial action on the unique quartic invariant polynomial I4 of the charge representation R of G4. This leads to interesting phenomena in relation to theory of extremal black hole attractors; namely, the possibility to make transitions between different charge orbits of R, with corresponding change of the supersymmetry properties of the supported attractor solutions. Furthermore, a suitable action of PQ transformations can also set I4 to zero, or vice versa it can generate a non-vanishing I4: this corresponds to transitions between "large" and "small" charge orbits, which we classify in some detail within the "special coordinates" symplectic frame. Finally, after a brief account of the action of PQ transformations on the recently established correspondence between Cayley's hyperdeterminant and elliptic curves, we derive an equivalent, alternative expression of I4, with relevant application to black hole entropy.Bellucci, StefanoMarrani, AlessioRoychowdhury, RajuWed, 03 Nov 2010 08:57:53 GMT03 Nov 2010arXiv:1011.0705https://cds.cern.ch/record/1304543On $R^4$ terms and MHV amplitudes in N = 5,6 supergravity vacua of Type II superstrings
https://cds.cern.ch/record/1302208
We compute one-loop threshold corrections to $R^4$ terms in N= 5,6 supergravity vacua of Type II superstrings. We then discuss non-perturbative corrections generated by asymmetric D-brane instantons. Finally we derive generating functions for MHV amplitudes at tree level in N = 5, 6 supergravities.Bianchi, MassimoMon, 25 Oct 2010 20:24:13 GMT25 Oct 2010arXiv:1010.4736https://cds.cern.ch/record/1302208Thermodynamic Geometric Stability of Quarkonia states
https://cds.cern.ch/record/1301701
We compute exact thermodynamic geometric properties of the non-abelian quarkonium bound states from the consideration of one-loop strong coupling. From the general statistical principle, the intrinsic geometric nature of strongly coupled QCD is analyzed for the Columbic, rising and Regge rotating regimes. Without any approximation, we have obtained the non-linear mass effect for the Bloch-Nordsieck rotating strongly coupled quarkonia. For a range of physical parameters, we show in each cases that there exists a well-defined, non-degenerate, curved, intrinsic Riemannian manifold. As the gluons become softer and softer, we find in the limit of the Bloch-Nordsieck resummation that the strong coupling obtained from the Sudhakov form factor possesses exact local and global thermodynamic properties of the underlying mesons, kaons and $D_s$ particles.Bellucci, StefanoChandra, VinodTiwari, Bhupendra NathThu, 21 Oct 2010 19:48:01 GMT21 Oct 2010arXiv:1010.4225https://cds.cern.ch/record/1301701Black Strings, Black Rings and State-space Manifold
https://cds.cern.ch/record/1301331
State-space geometry is considered, for diverse three and four parameter non-spherical horizon rotating black brane configurations, in string theory and $M$-theory. We have explicitly examined the case of unit Kaluza-Klein momentum $D_1D_5P$ black strings, circular strings, small black rings and black supertubes. An investigation of the state-space pair correlation functions shows that there exist two classes of brane statistical configurations, {\it viz.}, the first category divulges a degenerate intrinsic equilibrium basis, while the second yields a non-degenerate, curved, intrinsic Riemannian geometry. Specifically, the solutions with finitely many branes expose that the two charged rotating $D_1D_5$ black strings and three charged rotating small black rings consort real degenerate state-space manifolds. Interestingly, arbitrary valued $M_5$-dipole charged rotating circular strings and Maldacena Strominger Witten black rings exhibit non-degenerate, positively curved, comprehensively regular state-space configurations. Furthermore, the state-space geometry of single bubbled rings admits a well-defined, positive definite, everywhere regular and curved intrinsic Riemannian manifold; except for the two finite values of conserved electric charge. We also discuss the implication and potential significance of this work for the physics of black holes in string theory.Bellucci, StefanoTiwari, Bhupendra NathWed, 20 Oct 2010 19:14:12 GMT20 Oct 2010arXiv:1010.3832https://cds.cern.ch/record/1301331Attractors and first order formalism in five dimensions revisited
https://cds.cern.ch/record/1301014
The attractor mechanism in five dimensional Einstein-Maxwell Chern-Simons theory is studied. The expression of the five dimensional rotating black object potential depending on Taub-NUT, electric and magnetic charges as well as on all the scalar and gauge fields is investigated. The first order formalism in d=5 is constructed and analyzed in full details. It is derived a general expression defining the fake superpotential which is valid for all charge configurations (and not just for particular ones). An explicit expression for the fake superpotential is constructed for all very special geometries in the case of vanishing Taub-NUT charge. The same is done for the the very special geometries corresponding to $t^3$ and stu models for the most general charge configurations. The attractor flows and horizon values of all fields are given.Bellucci, SFerrara, SShcherbakov, AYeranyan, ATue, 19 Oct 2010 18:11:24 GMT19 Oct 2010arXiv:1010.3516https://cds.cern.ch/record/1301014Four curious supergravities
https://cds.cern.ch/record/1300674
We consider four supergravities with 16+16, 32+32, 64+64, 128+128 degrees of freedom displaying some curious properties: (1) They exhibit minimal supersymmetry (N=1, 2, 2, 1) but maximal rank (r=7, 6, 4, 0) of the scalar coset in D=4, 5, 7, 11. (2) They couple naturally to supermembranes and admit these membranes as solutions. (3) Although the D=4, 5, 7 supergravities follow from truncating the maximally supersymmetric ones, there nevertheless exist M-theory compactifications with G2, SU(3), SU(2) holonomy having these supergravities as their massless sectors. (4) They reduce to N=1, 2, 4, 8 theories all with maximum rank 7 in D=4 which (5) correspond to 0, 1, 3, 7 lines of the Fano plane and hence admit a division algebra (R,C,H,O) interpretation consistent with the black-hole/qubit correspondence, (6) are generalized self-mirror and hence (7) have vanishing on-shell trace anomaly.Duff, M JFerrara, SMon, 18 Oct 2010 17:45:24 GMT18 Oct 2010arXiv:1010.3173https://cds.cern.ch/record/1300674Split Attractor Flow in N=2 Minimally Coupled Supergravity
https://cds.cern.ch/record/1299652
We classify the stability region, marginal stability walls (MS) and split attractor flows for two-center extremal black holes in four-dimensional N=2 supergravity minimally coupled to n vector multiplets. It is found that two-center (continuous) charge orbits, classified by four duality invariants, either support a stability region ending on a MS wall or on an anti-marginal stability (AMS) wall, but not both. Therefore, the scalar manifold never contains both walls. Moreover, the BPS mass of the black hole composite (in its stability region) never vanishes in the scalar manifold. For these reasons, the "bound state transformation walls" phenomenon does not necessarily occur in these theories. The entropy of the flow trees also satisfies an inequality which forbids "entropy enigma" decays in these models. Finally, the non-BPS case, due to the existence of a "fake" superpotential satisfying a triangle inequality, can be treated as well, and it can be shown to exhibit a split attractor flow dynamics which, at least in the n=1 case, is analogous to the BPS one.Ferrara, SergioMarrani, AlessioOrazi, EmanueleWed, 13 Oct 2010 12:54:26 GMT13 Oct 2010arXiv:1010.2280https://cds.cern.ch/record/1299652