2002
DOI: 10.1103/physrevd.65.125015
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Gauge-gravity correspondence in an accelerating universe

Abstract: We discuss time-dependent backgrounds of type IIB supergravity realizing gravitation duals of gauge theories formulated in de Sitter space-time as a tool of embedding de Sitter in a supergravity. We show that only the gravitational duals to non-conformal gauge theories are sensitive to a specific value of a Hubble parameter. We consider two nontrivial solutions of this type: a gravity dual to six-dimensional (1, 1) little string theory, and to a four-dimensional cascading SU (N + M ) × SU (N ) supersymmetric g… Show more

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Cited by 52 publications
(115 citation statements)
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“…For specificity, let us focus on the solutions in [186,187], which are appropriate for the deformed conifold throats in our discussion. These solutions are found as perturbations around the de Sitter-like slicing of AdS 5 T 1;1 , and, in fact, the perturbations disappear at the bottom of the throat, leaving an AdS 5 T 1;1 core.…”
Section: Ads-like Solutionsmentioning
confidence: 99%
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“…For specificity, let us focus on the solutions in [186,187], which are appropriate for the deformed conifold throats in our discussion. These solutions are found as perturbations around the de Sitter-like slicing of AdS 5 T 1;1 , and, in fact, the perturbations disappear at the bottom of the throat, leaving an AdS 5 T 1;1 core.…”
Section: Ads-like Solutionsmentioning
confidence: 99%
“…However, the supergravity stress tensor (sourced by supergravity fluxes) would vanish asymptotically, leading to a contradiction. This analysis is born out by examining the equations of motion acting on a supergravity ansatz that generalizes [186,187]. 27 However, it is possible that the solutions of [186,187] are approximate solutions for throats in the compactification in a region far from both the tip and the bulk.…”
Section: Ads-like Solutionsmentioning
confidence: 99%
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“…Thus, we can also regard the version of AdS given by (2.3) as the bulk dual of the CFT on the dS d global manifold with metric (2.4) (cf. [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]). Not surprisingly, the two boundary metrics are conformally related by a Weyl rescaling and a time diffeomorphism:…”
Section: A Simple Model Of Cosmological Complementaritymentioning
confidence: 99%
“…In addition, F (3) and F (5) satisfy Bianchi identities which follow from the definition of the field strengths in terms of their potentials:…”
Section: Conventionsmentioning
confidence: 99%