The Cardy-Verlinde formula for 2D gravity
arXiv:hep-th/0202180 · doi:10.1016/S0550-3213(02)00259-6
Abstract
We discuss the different bounds on entropy in the context of two-dimensional cosmology. We show that in order to obtain well definite bounds one has to use the scale symmetry of the gravitational theory. We then extend the recently found relation between the Friedmann equation and the Cardy formula to the case of two dimensions. In particular, we find that in two dimensions this relation requires that the central charge c of the conformal field theory is given in terms of the Newton constant G of the gravitational theory by c=6/G.
14 pages, Latex file. v2: reference added
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- Cardy-Verlinde Formula and Achucarro-Ortiz Black Hole
- Analytic Bootstrap in 2D Boundary Conformal Field Theory: Towards Braneworld Holography
- Anti-de Sitter holography for gravity and higher spin theories in two dimensions
- Two-dimensional dS/CFT correspondence
- Cosmology of the Jackiw-Teitelboim model
- Entropy bounds in two dimensions
- Entropy of the 3-brane and the AdS/CFT duality from a two-dimensional perspective