dS/CFT correspondence on a brane

TL;DR

This paper investigates branes in AdS Schwarzschild backgrounds with high tension, revealing their induced de Sitter-like metrics and exploring implications for dS/CFT correspondence, including novel cosmological evolutions and entropy relations.

Contribution

It introduces a new class of brane configurations with de Sitter-like induced metrics and analyzes their role in the dS/CFT correspondence, including entropy calculations.

Findings

Branes with tension above a critical value have FRW and asymptotically de Sitter metrics.

Certain brane evolutions interpolate between de Sitter space and a finite space without singularities.

The central charge of the dual CFT appears in the Cardy-Verlinde entropy formula.

Abstract

We study branes moving in an AdS Schwarzschild black hole background. When the brane tension exceeds a critical value, the induced metric on the brane is of FRW type and asymptotically de Sitter. We discuss the relevance of such configurations to dS/CFT correspondence. When the black hole mass reaches a critical value that depends on the brane tension, the brane interpolates in the infinite past and future between a dS space and a finite space of zero Hubble constant. This corresponds to a cosmological evolution without a Big Bang or a Big Crunch. Moreover, the central charge of the CFT dual to the dS brane enters the Cardy-Verlinde formula that gives the entropy of the thermal CFT dual to the bulk AdS black hole.