Entropy bounds, monotonicity properties and scaling in CFTs

Details Entropy bounds, monotonicity properties and scaling in CFTs Entropy bounds, monotonicity properties and scaling in CFTs

2001-01-12

arxiv.org/abs/hep-th/0101076v3

Nucl.Phys. B601 (2001) 380-394

Physics

High Energy Physics

High Energy Physics - Theory

19p, LaTeX, v2 minor clarifications and added references, v3 version to appear in NPB

Scientific paper

10.1016/S0550-3213(01)00085-2

We study the ratio of the entropy to the total energy in conformal field theories at finite temperature. For the free field realizations of {\cal N}=4 super Yang-Mills theory in D=4 and the (2,0) tensor multiplet in D=6, the ratio is bounded from above. The corresponding bounds are less stringent than the recently proposed Verlinde bound. We show that entropy bounds arise generically in CFTs in connection to monotonicity properties with respect to temperature changes of a generalized C-function. For strongly coupled CFTs with AdS duals, we show that the ratio obeys the Verlinde bound even in the presence of rotation. For such CFTs, we point out an intriguing resemblance in their thermodynamic formulas with the corresponding ones of two-dimensional CFTs. We show that simple scaling forms for the free energy and entropy of CFTs with AdS duals reproduce the thermodynamical properties of (D+1)-dimensional AdS black holes.

Affiliated with

Also associated with

No associations

Rating

Entropy bounds, monotonicity properties and scaling in CFTs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Entropy bounds, monotonicity properties and scaling in CFTs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entropy bounds, monotonicity properties and scaling in CFTs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-629510