Results 1  10
of
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 nonextremal 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 ..."
Abstract

Cited by 14 (13 self)
 Add to MetaCart
(Show Context)
In this article we study correspondence between the microscopic spectrum and macroscopic properties of a class of extremal and nonextremal 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 statespace geometry in the case of various extremal and nonextremal black branes arising from the string theories, multicentered 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 Mtheory. We have further shown that there exists a clear mechanism on the black brane side that describes the notion of associated interactions in the statespace or viceversa. We thus find that in all such cases there are no singularities in the statespace 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 BornInfeld theory with n abelian gauge fields and with Sp( ..."
Abstract

Cited by 12 (0 self)
 Add to MetaCart
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 BornInfeld theory with n abelian gauge fields and with Sp(2n, R) selfduality. 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 FiveDimensional Black Hole Physics
, 2008
"... We review recent developments in understanding quantum/string corrections to BPS black holes and strings in fivedimensional supergravity. These objects are solutions to the effective action obtained from Mtheory compactified on a CalabiYau threefold, including the oneloop corrections determined ..."
Abstract

Cited by 8 (0 self)
 Add to MetaCart
(Show Context)
We review recent developments in understanding quantum/string corrections to BPS black holes and strings in fivedimensional supergravity. These objects are solutions to the effective action obtained from Mtheory compactified on a CalabiYau threefold, including the oneloop corrections determined by anomaly cancellation and supersymmetry. We introduce the offshell 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 fourdimensional stringcorrected supergravity, emphasizing the distinctions between the four and five dimensional theories.
Flux Vacua Attractors and Generalized
 Compactifications, JHEP 0901 (2009) 017 , arXiv:0806.3820 [hepth
"... 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 ..."
Abstract

Cited by 5 (1 self)
 Add to MetaCart
(Show Context)
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 nonKähler 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 CalabiYau Manifolds
, 2009
"... The compactification of type IIA superstring on ndimensional CalabiYau manifolds is discussed. In particular, a conjecture is given for type IIA extremal pdimensional black brane attractors corresponding to Adsp+2 × S 8−2n−p horizon geometries. ..."
Abstract

Cited by 4 (2 self)
 Add to MetaCart
The compactification of type IIA superstring on ndimensional CalabiYau manifolds is discussed. In particular, a conjecture is given for type IIA extremal pdimensional black brane attractors corresponding to Adsp+2 × S 8−2n−p horizon geometries.
CERNPHTH/2008020 d = 4 Black Hole Attractors in N = 2 Supergravity with FayetIliopoulos 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 ..."
Abstract

Cited by 3 (0 self)
 Add to MetaCart
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 FayetIliopoulos 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 semipositive 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 RamondRamond superpotential and the one described by the (non)geometric flux charges. We demonstrate a sing ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
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 RamondRamond 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 RamondRamond 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 ..."
Abstract

Cited by 2 (2 self)
 Add to MetaCart
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 largecomplexstructure limit, which allows us to study all possible, stable treelevel vacua very expli ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
(Show Context)
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 largecomplexstructure limit, which allows us to study all possible, stable treelevel vacua very explicitly. We find that, by tuning fluxes, both supersymmetric and nonsupersymmetric vacua can be realized at almost any point in the largecomplexstructure moduli space of one, two, and threeparameter models. We also consider the effect of stringy corrections on treelevel vacua. We argue quite generally that in a certain regime both supersymmetric and nonsupersymmetric treelevel 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 noscale form of
stu Black Holes Unveiled
, 807
"... The general solutions of the radial attractor flow equations for extremal black holes, both for nonBPS with nonvanishing central charge Z and for Z = 0, are obtained for the socalled stu model, the minimal rank3 N = 2 symmetric supergravity in d = 4 spacetime dimensions. Comparisons with previo ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
The general solutions of the radial attractor flow equations for extremal black holes, both for nonBPS with nonvanishing central charge Z and for Z = 0, are obtained for the socalled stu model, the minimal rank3 N = 2 symmetric supergravity in d = 4 spacetime dimensions. Comparisons with previous results, as well as the fake supergravity (first order) formalism and an analysis of the BPS bound all along the nonBPS attractor flows and of the marginal stability of corresponding D