Remarks on Fermionic Formula
Quantum Algebra
2007-05-23 v3 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
solv-int
Abstract
Fermionic formulae originate in the Bethe ansatz in solvable lattice models. They are specific expressions of some q-polynomials as sums of products of q-binomial coefficients. We consider the fermionic formulae associated with general non-twisted quantum affine algebra U_q(X^{(1)}_n) and discuss several aspects related to representation theories and combinatorics. They include crystal base theory, one dimensional sums, spinon character formulae, Q-system and combinatorial completeness of the string hypothesis for arbitrary X_n.
Cite
@article{arxiv.math/9812022,
title = {Remarks on Fermionic Formula},
author = {Goro Hatayama and Atsuo Kuniba and Masato Okado and Taichiro Takagi and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:math/9812022},
year = {2007}
}
Comments
49 pages, no figures, LaTeX2e using package amsmath