On State Counting and Characters
Srinandan Dasmahapatra
Abstract
We outline the relationship between the thermodynamic densities and quasi-particle descriptions of spectra of RSOS models with an underlying Bethe equation. We use this to prove completeness of states in some cases and then give an algorithm for the construction of branching functions of their emergent conformal field theories. Starting from the Bethe equations of Dn type, we discuss some aspects of the Zn lattice models.
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