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 …

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 …

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 …

We present a" natural finitization" of the fermionic q-series (certain generalizations of the
Rogers–Ramanujan sums) which were recently conjectured to be equal to Virasoro …

We present and prove Rogers–Schur–Ramanujan (Bose/Fermi) type identities for the
Virasoro characters of the minimal model M (p, p′). The proof uses the continued fraction …

Quantum phase transitions are studied in the nonchiral p-clock chain, and a new explicitly U
(1)-symmetric clock model, by monitoring the ground-state fidelity susceptibility. For p≥ 5 …

We prove polynomial boson-fermion identities for the generating function of the number of
partitions of n of the form n=j=1^L-1jf_j, with f_1≦i-1, f_L-1≦i'-1 and f_j+f_j+1≦k. The …

The problem of computing the one-dimensional configuration sums of the ABF model in
regime III is mapped onto the problem of evaluating the grandcanonical partition function of …