Spectra in Conformal Field Theories from the Rogers Dilogarithm

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

We propose a system of functional relations having a universal form connected
to the $U_q(X^{(1)}_r)$ 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 $X^{(1)}_r$ parafermion conformal field theory.

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