On the Cardy-Verlinde Formula and the de Sitter/CFT Correspondence

Details On the Cardy-Verlinde Formula and the de Sitter/CFT Correspondence On the Cardy-Verlinde Formula and the de Sitter/CFT Correspondence

2001-12-11

arxiv.org/abs/hep-th/0112093v3

JHEP 0203 (2002) 009

Physics

High Energy Physics

High Energy Physics - Theory

16 pages in phyzzx.tex, the discussion in section 4 clarified, minor corrections, two references added; v3: the relation betwe

Scientific paper

10.1088/1126-6708/2002/03/009

We derive the Cardy--Verlinde entropy formula for the field theory that lives on the boundary of an asymptotically de Sitter space with a black hole. The boundary theory which is not conformal has a monotonic $C$--function defined by the Casimir energy. The instability of the space due to Hawking radiation from the black hole corresponds to an RG flow from the IR to the UV during which $C$ increases. The endpoint of black hole evaporation is de Sitter space which is described by a conformal theory at the UV fixed point of the RG flow.

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