Spectra in Conformal Field Theories from the Rogers Dilogarithm
Abstract
We propose a system of functional relations having a universal form connected to the Uq(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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