Partition Sums and Entropy Bounds in Weakly Coupled CFT

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages

Scientific paper

10.1088/1126-6708/2001/01/001

We use the partition functions on S^1 x S^n of various conformal field
theories in four and six dimensions in the limit of vanishing coupling to study
the high temperature thermodynamics. Certain modular properties exhibited by
the partition functions help to determine the finite volume corrections, which
play a role in the discussion of entropy bounds.

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