Dilogarithm Identities in Conformal Field Theory

Details Dilogarithm Identities in Conformal Field Theory Dilogarithm Identities in Conformal Field Theory

1992-11-06

arxiv.org/abs/hep-th/9211034v2

Mod.Phys.Lett. A8 (1993) 1835-1848

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, BONN-preprint. (a few minor changes, two major corrections in chapter 3, namely: (3.10) only holds in the case of th

Scientific paper

10.1142/S0217732393001562

Dilogarithm identities for the central charges and conformal dimensions exist for at least large classes of rational conformally invariant quantum field theories in two dimensions. In many cases, proofs are not yet known but the numerical and structural evidence is convincing. In particular, close relations exist to fusion rules and partition identities. We describe some examples and ideas, and present some conjectures useful for the classification of conformal theories. The mathematical structures seem to be dual to Thurston's program for the classification of 3-manifolds.

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