Interacting spinors-scalars and AdS/CFT correspondence

Mann

2004

Int. J. Mod. Phys. A

The proposed dS/CFT correspondence remains an intriguing paradigm in the context of string theory. Recently it has motivated two interesting conjectures: the entropic N-bound and the maximal mass conjecture. The former states that there is an upper bound to the entropy in asymptotically de Sitter spacetimes, given by the entropy of pure de Sitter space. The latter states that any asymptotically de Sitter spacetime cannot have a mass larger than the pure de Sitter case without inducing a cosmological singularity.Here we review the status of these conjectures and demonstrate their limitation. We first describe a generalization of gravitational thermodynamics to asymptotically de Sitter spacetimes, and show how to compute conserved quantities and gravitational entropy using this formalism. From this we proceed to a discussion of the N-bound and maximal mass conjectures. We then illustrate that these conjectures are not satisfied for certain asymptotically de Sitter spacetimes with NUT charge. We close with a presentation of explicit examples in various spacetime dimensionalities.

Section: Path Integral Formalism In Asymptotically Ds Spacetimesmentioning

confidence: 99%

A REVIEW OF THE N-BOUND AND THE MAXIMAL MASS CONJECTURES USING NUT-CHARGED dS SPACE–TIMES

Clarkson

Mann

2004

Int. J. Mod. Phys. A

“…The above-mentioned correspondence have been studied for various cases, e. g. a free massive scalar field and a free U(1) gauge theory [4], an interacting massive scalar field theory [5], free massive spinor field theory [6], and interacting massive spinor-scalar field theory [7]. Our aim in this article is to study the the correspondence between theories on AdS spaces and logarithmic conformal field theories (LCFT's).…”

Section: Introductionmentioning

confidence: 99%

LOGARITHMIC CONFORMAL FIELD THEORIES AND AdS CORRESPONDENCE

Khorrami

Aghamohammadi

1999

Int. J. Mod. Phys. A

“…One important feature of this correspondence is that it doesn't rely on supersymmetry and string theory unlike the well known AdS/CFT correspondence. [4,5,6,7,8,9].…”

Section: Introductionmentioning

confidence: 99%

Kerr–bolt Spacetimes and Kerr/CFT Correspondence

2012

Mod. Phys. Lett. A

We investigate the recently proposed Kerr/CFT correspondence in the context of rotating spacetimes with a NUT twist. The Kerr/CFT correspondence states that the near-horizon states of an extremal four (or higher) dimensional black hole could be identified with a certain chiral conformal field theory. The corresponding Virasoro algebra is generated with a class of diffeomorphism which preserves an appropriate boundary condition on the near-horizon geometry. We try to understand the analog of singularities in the context of dual chiral CFT. Explicitly, we use Kerr/CFT correspondence to show that if we initially do not remove the singularities from the spacetimes, in the dual chiral CFT we can detect the presence of singularities in the bulk of spacetime.