Spectra in Conformal Field Theories from the Rogers Dilogarithm

Abstract

We propose a system of functional relations having a universal form connected to the $U_q(X_r^{(1)})$ Bethe ansatz equation. Based on the analysis of it, we conjecture a new sum formula for the Rogers dilogarithm function in terms of the scaling dimensions of the $X_r^{(1)}$ parafermion conformal field theory.

10 pages, MRR-009-92, SMS-042-92

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