Lift of dilogarithm to partition identities
High Energy Physics - Theory
2008-02-03 v2
Abstract
For the whole set of dilogarithm identities found recently using the thermodynamic Bethe-Ansatz for the 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.
Keywords
Cite
@article{arxiv.hep-th/9211120,
title = {Lift of dilogarithm to partition identities},
author = {Michael Terhoeven},
journal= {arXiv preprint arXiv:hep-th/9211120},
year = {2008}
}
Comments
9 pages, preprint BONN-HE-92-36, (a few typos were corrected, also I tried get rid of some of the notorious degeneracies of the type p=p'=m=r=s and n=n+/-1)