Dilogarithm identities, partitions and spectra in conformal field theory, I

TL;DR

This paper establishes new identities involving the Rogers dilogarithm function and explores their connection to spectra in conformal field theory, advancing understanding of mathematical structures in theoretical physics.

Contribution

It introduces novel dilogarithm identities and links them to conformal field theory spectra, providing new mathematical tools for the field.

Findings

New Rogers dilogarithm identities proved

Connection established between identities and conformal spectra

Potential implications for mathematical physics

Abstract

We prove new identities betweenthe values of Rogers dilogarithm function and describe a connection between these identities and spectra in conformal field theory.