We study the dilogarithm identities from algebraic, analytic, asymptotic, K-theoretic,
combinatorial and representation-theoretic points of view. We prove that a lot of dilogarithm …

We introduce a fermionic formula associated with any quantum affine algebra U q (XN (r).
Guided by the interplay between corner transfer matrix and the Bethe ansatz in solvable …

By studying the properties of q-series Z^-invariants, we develop a dictionary between 3-
manifolds and vertex algebras. In particular, we generalize previously known entries in this …

In this paper we consider the spin-1/2 highest weight representations for the 6-vertex Yang–
Baxter algebra on a finite lattice and analyze the integrable quantum models associated to …

This is the first of a series of papers studying combinatorial (with no “subtractions”) bases
and characters of standard modules for affine Lie algebras, as well as various subspaces …

The Hilbert space of an RSOS model, introduced by Andrews, Baxter, and Forrester, can be
viewed as a space of sequences (paths){a 0, a 1,…, a L}, with a j-integers restricted by 1≤ …

We present fermionic sum representations of the characters χ τ, s (p, p′) of the minimal M
(p, p′) models for all relatively prime integers p′> p for some allowed values of r and s …

Abstract The two Rogers–Ramanujan q-series∑ n= 0∞ qn (n+ σ)(1− q)⋯(1− qn), where σ=
0, 1, play many roles in mathematics and physics. By the Rogers–Ramanujan identities, they …

The thermodynamics of solvable isotropic chains with arbitrary spins is addressed by the
recently developed quantum transfer matrix (QTM) approach. The set of nonlinear equations …

We study the description of the SU (2), level k= 1, Wess-Zumino-Witten conformal field
theory in terms of the modes of the spin-1 2 affine primary field φα. These are shown to …