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Partition Sums and Entropy Bounds in Weakly Coupled CFT

David Kutasov, Finn Larsen

hep-tharXiv:hep-th/0009244

Abstract

We use the partition functions on S1 x Sn 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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