Dionysios Anninos

Warped \(AdS_3\) Black Holes

Three dimensional topologically massive gravity (TMG) with a negative cosmological constant ???2 and positive Newton constant G admits an AdS3 vacuum solution for any value of the graviton mass ?. These are all known to be perturbatively unstable except at the recently explored chiral point ?? = 1. However we show herein that for every value of ?? ? 3 there are two other (potentially stable) vacuum solutions given by SL(2,) ? U(1)-invariant warped AdS3 geometries, with a timelike or spacelike U(1) isometry. Critical behavior occurs at ?? = 3, where the warping transitions from a stretching to a squashing, and there are a pair of warped solutions with a null U(1) isometry. For 3

Higher spin realization of the DS/CFT correspondence

>?? > 3, there are known warped black hole solutions which are asymptotic to warped AdS3. We show that these black holes are discrete quotients of warped AdS3 just as BTZ black holes are discrete quotients of ordinary AdS3. Moreover new solutions of this type, relevant to any theory with warped AdS3 solutions, are exhibited. Finally we note that the black hole thermodynamics is consistent with the hypothesis that, for 3

Warped AdS(3) Black Holes

>?? > 3, the warped AdS3 ground state of TMG is holographically dual to a 2D boundary CFT with central charges and .

Warped AdS3 black holes

We conjecture that Vasilievs theory of higher spin gravity in four-dimensional de Sitter space (dS) is holographically dual to a three-dimensional conformal field theory (CFT) living on the spacelike boundary of dS at future timelike infinity. The CFT is the Euclidean Sp(N) vector model with anticommuting scalars. The free CFT flows under a double-trace deformation to an interacting CFT in the IR. We argue that both CFTs are dual to Vasiliev dS gravity but with different future boundary conditions on the bulk scalar field. Our analysis rests heavily on analytic continuations of bulk and boundary correlators in the proposed duality relating the O(N) model with Vasiliev gravity in AdS.

Thermodynamics of the Maxwell-Gauss-Bonnet anti-de Sitter black hole with higher derivative gauge corrections

Three dimensional topologically massive gravity (TMG) with a negative cosmological constant ???2 and positive Newton constant G admits an AdS3 vacuum solution for any value of the graviton mass ?. These are all known to be perturbatively unstable except at the recently explored chiral point ?? = 1. However we show herein that for every value of ?? ? 3 there are two other (potentially stable) vacuum solutions given by SL(2,) ? U(1)-invariant warped AdS3 geometries, with a timelike or spacelike U(1) isometry. Critical behavior occurs at ?? = 3, where the warping transitions from a stretching to a squashing, and there are a pair of warped solutions with a null U(1) isometry. For 3

Wave function of Vasiliev’s universe: A few slices thereof

>?? > 3, there are known warped black hole solutions which are asymptotic to warped AdS3. We show that these black holes are discrete quotients of warped AdS3 just as BTZ black holes are discrete quotients of ordinary AdS3. Moreover new solutions of this type, relevant to any theory with warped AdS3 solutions, are exhibited. Finally we note that the black hole thermodynamics is consistent with the hypothesis that, for 3

Stability of warped AdS3 vacua of topologically massive gravity

>?? > 3, the warped AdS3 ground state of TMG is holographically dual to a 2D boundary CFT with central charges and .

The curious case of null warped space

Three dimensional topologically massive gravity (TMG) with a negative cosmological constant ???2 and positive Newton constant G admits an AdS3 vacuum solution for any value of the graviton mass ?. These are all known to be perturbatively unstable except at the recently explored chiral point ?? = 1. However we show herein that for every value of ?? ? 3 there are two other (potentially stable) vacuum solutions given by SL(2,) ? U(1)-invariant warped AdS3 geometries, with a timelike or spacelike U(1) isometry. Critical behavior occurs at ?? = 3, where the warping transitions from a stretching to a squashing, and there are a pair of warped solutions with a null U(1) isometry. For 3

Holography and the Coleman-Mermin-Wagner theorem

>?? > 3, there are known warped black hole solutions which are asymptotic to warped AdS3. We show that these black holes are discrete quotients of warped AdS3 just as BTZ black holes are discrete quotients of ordinary AdS3. Moreover new solutions of this type, relevant to any theory with warped AdS3 solutions, are exhibited. Finally we note that the black hole thermodynamics is consistent with the hypothesis that, for 3

Hopfing and puffing warped anti-de Sitter space

>?? > 3, the warped AdS3 ground state of TMG is holographically dual to a 2D boundary CFT with central charges and .