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41
RG flows from spin(7), CY 4fold and HK manifolds to AdS, Penrose limits and pp waves
"... We obtain explicit realizations of holographic renormalization group (RG) flows from Mtheory, from E 2,1 × Spin(7) at UV to AdS4 × ˜ S 7 (squashed S 7) at IR, from E 2,1 × CY 4 at UV to AdS4 ×Q 1,1,1 at IR, and from E 2,1 ×HK (hyperKahler) at UV to AdS4 ×N 0,1,0 at IR. The dual type IIA string the ..."
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Cited by 42 (5 self)
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We obtain explicit realizations of holographic renormalization group (RG) flows from Mtheory, from E 2,1 × Spin(7) at UV to AdS4 × ˜ S 7 (squashed S 7) at IR, from E 2,1 × CY 4 at UV to AdS4 ×Q 1,1,1 at IR, and from E 2,1 ×HK (hyperKahler) at UV to AdS4 ×N 0,1,0 at IR. The dual type IIA string theory configurations correspond to D2D6 brane systems where D6branes wrap supersymmetric fourcycles. We also study the Penrose limits and obtain the ppwave backgrounds for the above configurations. Besides, we study some examples of Since Mtheory compactifications on manifolds of special holonomy preserve a fraction of the original supercharges in flat elevendimensional spacetime, it has become a fruitful arena to explore the dynamical aspects of minimally supersymmetric gauge theories. Indeed, study of special holonomy manifolds developing an isolated classical singularity has recently shed light
Domain Wall Holography for Finite Temperature Scaling Solutions
 JHEP
"... We investigate a class of nearextremal solutions of EinsteinMaxwellscalar theory with electric charge and power law scaling, dual to charged IR phases of relativistic field theories at low temperature. These are exact solutions of theories with domain wall vacua; hence, we use nonconformal hologr ..."
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Cited by 33 (1 self)
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We investigate a class of nearextremal solutions of EinsteinMaxwellscalar theory with electric charge and power law scaling, dual to charged IR phases of relativistic field theories at low temperature. These are exact solutions of theories with domain wall vacua; hence, we use nonconformal holography to relate the bulk and boundary theories. We numerically construct a global interpolating solution between the IR charged solutions and the UV domain wall vacua for arbitrary physical choices of Lagrangian parameters. By passing to a conformal frame in which the domain wall metric becomes that of AdS, we uncover a generalized scale invariance of the IR scaling solution, indicating a connection to the physics of Lifshitz fixed points. Finally, guided by effective field theoretic principles and the physics of nonconformal Dbranes, we argue for the applicability of domain wall holography even in theories with AdS critical points, namely those theories for which a scalar potential is dominated by a single exponential term over a large range.
Holography and quaternionic Taub–NUT
, 2002
"... As a concrete application of the holographic correspondence to manifolds which are only asymptotically Anti–de Sitter, we take a closer look at the quaternionic Taub–NUT space. This is a four dimensional, non–compact, inhomogeneous, riemannian manifold with the interesting property of smoothly inter ..."
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Cited by 9 (1 self)
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As a concrete application of the holographic correspondence to manifolds which are only asymptotically Anti–de Sitter, we take a closer look at the quaternionic Taub–NUT space. This is a four dimensional, non–compact, inhomogeneous, riemannian manifold with the interesting property of smoothly interpolating between two symmetric spaces, AdS4 itself and the coset SU(2, 1)/U(2). Even more interesting is the fact that the scalar curvature of the induced conformal structure at the boundary (corresponding to a squashed three–sphere) changes sign as we interpolate between these two limiting cases. Using twistor methods, we construct the bulk–to–bulk and bulk–to–boundary propagators for conformally coupled scalars on quaternionic Taub–NUT. This may eventually enable us to calculate correlation functions in the dual strongly coupled CFT on a squashed S 3 using the Since the formulation of the AdS/CFT conjecture in [1, 2, 3] there has been considerable effort in trying to check whether its validity extends to situations more general than the original AdSd+1 × S D−d−1 cases. If one chooses to remain in the limit where classical supergravity is applicable to some extent, there are two obvious generalisations. The first one is to replace SD−d−1 by a different compact internal
Domainwall supergravities from sphere reduction
 Nucl. Phys. B
, 1999
"... KaluzaKlein sphere reductions of supergravities that admit AdS×Sphere vacuum solutions are believed to be consistent. The examples include the S4 and S7 reductions of elevendimensional supergravity, and the S5 reduction of tendimensional type IIB supergravity. In this paper we provide evidence th ..."
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Cited by 9 (2 self)
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KaluzaKlein sphere reductions of supergravities that admit AdS×Sphere vacuum solutions are believed to be consistent. The examples include the S4 and S7 reductions of elevendimensional supergravity, and the S5 reduction of tendimensional type IIB supergravity. In this paper we provide evidence that sphere reductions of supergravities that admit instead Domainwall×Sphere vacuum solutions are also consistent, where the background can be viewed as the nearhorizon structure of a dilatonic pbrane of the theory. The resulting lowerdimensional theory is a gauged supergravity that admits a domain wall, rather than AdS, as a vacuum solution. We illustrate this consistency by taking the singular limits of certain modulus parameters, for which the original Sn compactifying spheres (n = 4,5 or 7) become Sp × Rq, with p = n − q < n. The consistency of the S4, S7 and S5 reductions then implies the consistency of the Sp reductions of the lowerdimensional supergravities. In particular, we obtain explicit nonlinear ansätze for the S3 reduction of type IIA and heterotic supergravities, restricting to the U(1) 2 subgroup of the SO(4) gauge group of S3. We also study the black hole solutions in the lowerdimensional gauged supergravities with domainwall backgrounds. We find new domainwall black holes which are not the singularmodulus limits of the AdS black holes of the original theories, and we obtain their Killing spinors. 1
Solitons in brane worlds
 Nucl. Phys. B
, 2000
"... We study some aspects of dilatonic domain walls in relation to the idea on the noncompact internal space. We find that the warp factor in the spacetime metric increases as one moves away from the domain wall for all the supersymmetric dilatonic domain wall solutions under consideration in this paper ..."
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Cited by 6 (2 self)
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We study some aspects of dilatonic domain walls in relation to the idea on the noncompact internal space. We find that the warp factor in the spacetime metric increases as one moves away from the domain wall for all the supersymmetric dilatonic domain wall solutions under consideration in this paper, unlike the case of the RandallSundrum model. On the other hand, when the dilaton coupling parameter a for the Ddimensional extreme dilatonic domain wall takes the values a 2 < 4/(D −2) 2, the KaluzaKlein spectrum of graviton has the same structure as that of the RandallSundrum model (and the warp factor decreases in the finite interval around the dilatonic domain wall), thereby implying the possibility of extending the RandallSundrum model to the a 2 < 4/(D − 2) 2 case. We construct fully localized solutions describing extreme dilatonic branes within extreme dilatonic domain walls and the supersymmetric branes within the supersymmetric domain walls of string theories. These solutions are valid in any region of spacetime, not just in the region close to the domain walls.
Singularity Resolution in Gauged Supergravity and Conifold Unification
, 2002
"... We obtain a unified picture for the conifold singularity resolution. We propose that gauged supergravity, through a novel prescription for the twisting, provides an appropriate framework to smooth out singularities in the context of gravity duals of supersymmetric gauge theories. ..."
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Cited by 4 (3 self)
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We obtain a unified picture for the conifold singularity resolution. We propose that gauged supergravity, through a novel prescription for the twisting, provides an appropriate framework to smooth out singularities in the context of gravity duals of supersymmetric gauge theories.
Black hole thermodynamics and twodimensional dilaton gravity theory,” Phys. Rev. D61
, 2000
"... We relate various black hole solutions in the nearhorizon region to black hole solutions in twodimensional dilaton gravity theories in order to argue that thermodynamics of black holes in D ≥ 4 can be effectively described by thermodynamics of black holes in twodimensional dilaton gravity theorie ..."
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Cited by 4 (1 self)
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We relate various black hole solutions in the nearhorizon region to black hole solutions in twodimensional dilaton gravity theories in order to argue that thermodynamics of black holes in D ≥ 4 can be effectively described by thermodynamics of black holes in twodimensional dilaton gravity theories. We show that the BekensteinHawking entropies of singlecharged dilatonic black holes and dilatonic pbranes with an arbitrary dilaton coupling parameter in arbitrary spacetime dimensions are exactly reproduced by the BekensteinHawking entropy of the twodimensional black hole in the associated twodimensional dilaton gravity model. We comment that thermodynamics of nonextreme stringy fourdimensional black hole with four charges and fivedimensional black hole with three charges may be effectively described by thermodynamics of the black hole solutions with constant dilaton field in twodimensional dilaton gravity theories.
Generalized) conformal quantum mechanics of 0branes and twodimensional dilaton gravity,” hepth/9909180
"... We study the relation between the (generalized) conformal quantum mechanics of 0branes and the twodimensional dilaton gravity. The twodimensional actions obtained from the supergravity effective actions for the (dilatonic) 0branes through the compactification on a sphere are related to known two ..."
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Cited by 4 (2 self)
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We study the relation between the (generalized) conformal quantum mechanics of 0branes and the twodimensional dilaton gravity. The twodimensional actions obtained from the supergravity effective actions for the (dilatonic) 0branes through the compactification on a sphere are related to known twodimensional dilaton gravity models. The SL(2,R) symmetry of the (generalized) conformal quantum mechanics is realized within such twodimensional models. The twodimensional dilatonic gravity model derived from the nondilatonic 0brane action is related to the Liouville theory and therefore is conformal, whereas the twodimensional model derived from the dilatonic 0brane action does not have the conformal symmetry.
Sbranes and (anti)bubbles in (A)dS space
, 2002
"... HUTP05/A0007, hepth/0502162 ..."
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