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arXiv · hep-th/9211120

Lift of dilogarithm to partition identities

Michael Terhoeven
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Abstract

For the whole set of dilogarithm identities found recently using the thermodynamic Bethe-Ansatz for the $ADET$ series of purely elastic scattering theories we give partition identities which involve characters of those conformal field theories which correspond to the UV-limits of the scattering theories. These partition identities in turn allow to derive the dilogarithm identities using modular invariance and a saddle point approximation. We conjecture on possible generalizations of this correspondance, namely, a lift from dilogarithm to partition identities.

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Michael Terhoeven. 1992-12-01. Lift of dilogarithm to partition identities. https://arxiv.org/abs/hep-th/9211120

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