Lift of dilogarithm to partition identities

Details Lift of dilogarithm to partition identities Lift of dilogarithm to partition identities

1992-11-25

arxiv.org/abs/hep-th/9211120v2

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, preprint BONN-HE-92-36, (a few typos were corrected, also I tried get rid of some of the notorious degeneracies of th

Scientific paper

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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