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23
On the Microscopic Perspective of Black Branes Thermodynamic Geometry
, 2008
"... In this article we study correspondence between the microscopic spectrum and macroscopic properties of a class of extremal and non-extremal black branes and outline an origin of the interactions among various microstates of a given black brane configuration from the perspective of an intrinsic Riema ..."
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Cited by 14 (13 self)
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In this article we study correspondence between the microscopic spectrum and macroscopic properties of a class of extremal and non-extremal black branes and outline an origin of the interactions among various microstates of a given black brane configuration from the perspective of an intrinsic Riemannian geometry arising from the coarse graining entropy over a large number of microstates. We have analyzed the state-space geometry in the case of various extremal and non-extremal black branes arising from the string theories, multi-centered black brane configurations, small black holes with fractional branes, fuzzy rings in the set up of Mathur’s fuzzballs and subensemble theory, as well as that the black brane foams from the considerations of bubbling black brane solutions in the M-theory. We have further shown that there exists a clear mechanism on the black brane side that describes the notion of associated interactions in the state-space or vice-versa. We thus find that in all such cases there are no singularities in the state-space manifold of these
Duality Rotations in Nonlinear Electrodynamics and in Extended Supergravity
, 2008
"... We review the general theory of duality rotations which, in four dimensions, exchange electric with magnetic fields. Necessary and sufficient conditions in order for a theory to have duality symmetry are established. A nontrivial example is Born-Infeld theory with n abelian gauge fields and with Sp( ..."
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Cited by 12 (0 self)
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We review the general theory of duality rotations which, in four dimensions, exchange electric with magnetic fields. Necessary and sufficient conditions in order for a theory to have duality symmetry are established. A nontrivial example is Born-Infeld theory with n abelian gauge fields and with Sp(2n, R) self-duality. We then review duality symmetry in supergravity theories. In the case of N = 2 supergravity duality rotations are in general not a symmetry of the theory but a key ingredient in order to formulate the theory itself. This is due to the beautiful relation between the geometry of special Kähler manifolds and duality rotations.
String Theory Effects on Five-Dimensional Black Hole Physics
, 2008
"... We review recent developments in understanding quantum/string corrections to BPS black holes and strings in five-dimensional supergravity. These objects are solutions to the effective action obtained from M-theory compactified on a Calabi-Yau threefold, including the one-loop corrections determined ..."
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Cited by 8 (0 self)
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We review recent developments in understanding quantum/string corrections to BPS black holes and strings in five-dimensional supergravity. These objects are solutions to the effective action obtained from M-theory compactified on a Calabi-Yau threefold, including the one-loop corrections determined by anomaly cancellation and supersymmetry. We introduce the off-shell formulation of this theory obtained through the conformal supergravity method and review the methods for investigating supersymmetric solutions. This leads to quantum/string corrected attractor geometries, as well as asymptotically flat black strings and spinning black holes. With these solutions in hand, we compare our results with analogous studies in four-dimensional string-corrected supergravity, emphasizing the distinctions between the four and five dimensional theories.
Flux Vacua Attractors and Generalized
- Compactifications, JHEP 0901 (2009) 017 , arXiv:0806.3820 [hep-th
"... The recent proposal, that there are attractor equations for type IIB CY(3) orientifold compactifications with flux, has only been verified numerically in special cases. We show by analytical means that the conjectured susy attractor equations do, indeed, give supersymmetric minima of the relevant sc ..."
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Cited by 5 (1 self)
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The recent proposal, that there are attractor equations for type IIB CY(3) orientifold compactifications with flux, has only been verified numerically in special cases. We show by analytical means that the conjectured susy attractor equations do, indeed, give supersymmetric minima of the relevant scalar potential. Furthermore, our considerations clarify various confusions about existing proposals for generalization of the flux vacua attractors to non-Kähler compactifications. We explore different possibilities for generalization and find attractor equations for N = 1 Minkowski vacua only both for the heterotic string on SU(3) structure manifolds and for type IIA/B on SU(3) × SU(3)
GNPHE/0810 On Black Objects in Type IIA Superstring Theory on Calabi-Yau Manifolds
, 2009
"... The compactification of type IIA superstring on n-dimensional Calabi-Yau manifolds is discussed. In particular, a conjecture is given for type IIA extremal p-dimensional black brane attractors corresponding to Adsp+2 × S 8−2n−p horizon geometries. ..."
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Cited by 4 (2 self)
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The compactification of type IIA superstring on n-dimensional Calabi-Yau manifolds is discussed. In particular, a conjecture is given for type IIA extremal p-dimensional black brane attractors corresponding to Adsp+2 × S 8−2n−p horizon geometries.
CERN-PH-TH/2008-020 d = 4 Black Hole Attractors in N = 2 Supergravity with Fayet-Iliopoulos Terms
, 802
"... We generalize the description of the d = 4 Attractor Mechanism based on an effective black hole (BH) potential to the presence of a gauging which does not modify the derivatives of the scalars and does not involve hypermultiplets. The obtained results do not rely necessarily on supersymmetry, and th ..."
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Cited by 3 (0 self)
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We generalize the description of the d = 4 Attractor Mechanism based on an effective black hole (BH) potential to the presence of a gauging which does not modify the derivatives of the scalars and does not involve hypermultiplets. The obtained results do not rely necessarily on supersymmetry, and they can be extended to d> 4, as well. Thence, we work out the example of the stu model of N = 2 supergravity in the presence of Fayet-Iliopoulos terms, for the supergravity analogues of the magnetic and D0 − D6 BH charge configurations, and in three different symplectic frames: the (SO (1, 1)) 2, SO (2, 2) covariant and SO (8)-truncated ones. The attractive nature of the critical points, related to the semi-positive definiteness of the Hessian
Realization of AdS Vacua in Attractor Mechanism on Generalized Geometry
, 2008
"... We evaluate flux vacua attractor equations in type IIA string theory compactified on generalized geometry with orientifold projection. This model provides N = 1 superpotential as a sum of the Ramond-Ramond superpotential and the one described by the (non)geometric flux charges. We demonstrate a sing ..."
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Cited by 2 (1 self)
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We evaluate flux vacua attractor equations in type IIA string theory compactified on generalized geometry with orientifold projection. This model provides N = 1 superpotential as a sum of the Ramond-Ramond superpotential and the one described by the (non)geometric flux charges. We demonstrate a single modulus model in which supersymmetric AdS and Minkowski solutions are classified by means of the discriminants of the two superpotentials. We further study various configurations without the Ramond-Ramond flux charges. We also find supersymmetric AdS vacua both in the case of compactifications on the generalized geometry with SU(3) × SU(3) structure, and on the manifold with SU(3)-structure without the nongeometric flux charges. Especially, in the latter case, we should introduce a correction into the prepotential of the special geometry in order to realize consistent vacua. This deformation is interpreted as the back reaction of the geometric
Flux Attractors and Generating Functions
, 2009
"... We use the flux attractor equations to study IIB supergravity compactifications with ISD fluxes. We show that the attractor equations determine not just the values of moduli fields, but also the masses of those moduli and the gravitino. We then show that the flux attractor equations can be recast in ..."
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Cited by 2 (2 self)
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We use the flux attractor equations to study IIB supergravity compactifications with ISD fluxes. We show that the attractor equations determine not just the values of moduli fields, but also the masses of those moduli and the gravitino. We then show that the flux attractor equations can be recast in terms of derivatives of a single generating function. We also find a simple expression for this generating function in terms of the gravitino mass, with both quantities considered as functions of the fluxes. For a simple prepotential, we explicitly solve the attractor equations. We conclude by discussing a thermodynamic interpretation of this generating function, and possible
Type IIB Flux Vacua at Large Complex Structure
, 2008
"... We study models of stabilization near large complex structure in type IIB O3/O7 flux compactifications. We consider a special family of examples with a single nonvanishing Yukawa coupling in the large-complex-structure limit, which allows us to study all possible, stable tree-level vacua very expli ..."
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Cited by 1 (1 self)
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We study models of stabilization near large complex structure in type IIB O3/O7 flux compactifications. We consider a special family of examples with a single nonvanishing Yukawa coupling in the large-complex-structure limit, which allows us to study all possible, stable tree-level vacua very explicitly. We find that, by tuning fluxes, both supersymmetric and nonsupersymmetric vacua can be realized at almost any point in the large-complex-structure moduli space of one-, two-, and three-parameter models. We also consider the effect of stringy corrections on tree-level vacua. We argue quite generally that in a certain regime both supersymmetric and nonsupersymmetric tree-level vacua can serve as consistent, controllable foundations for full stabilization beyond tree level (including Kähler moduli), leading to AdS or dS cosmological constants. We show how to achieve this regime in our models. Finally, we discuss some implications of minimizing at tree level the no-scale form of
stu Black Holes Unveiled
, 807
"... The general solutions of the radial attractor flow equations for extremal black holes, both for non-BPS with non-vanishing central charge Z and for Z = 0, are obtained for the so-called stu model, the minimal rank-3 N = 2 symmetric supergravity in d = 4 space-time dimensions. Comparisons with previo ..."
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Cited by 1 (0 self)
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The general solutions of the radial attractor flow equations for extremal black holes, both for non-BPS with non-vanishing central charge Z and for Z = 0, are obtained for the so-called stu model, the minimal rank-3 N = 2 symmetric supergravity in d = 4 space-time dimensions. Comparisons with previous results, as well as the fake supergravity (first order) formalism and an analysis of the BPS bound all along the non-BPS attractor flows and of the marginal stability of corresponding D-
