Lift of dilogarithm to partition identities

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.

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)

References in corpus (1)

• Fermionic Quasi-Particle Representations for Characters of $(G^{(1)}{)}_1\times (G^{(1)}{)}_1ø(G^{(1)}{)}_2$

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