Difference L operators and a Casorati determinant solution to the T-system for twisted quantum affine algebras
Mathematical Physics
2009-12-04 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We propose factorized difference operators L(u) associated with the twisted quantum affine algebras U_{q}(A^{(2)}_{2n}),U_{q}(A^{(2)}_{2n-1}), U_{q}(D^{(2)}_{n+1}),U_{q}(D^{(3)}_{4}). These operators are shown to be annihilated by a screening operator. Based on a basis of the solutions of the difference equation L(u)w(u)=0, we also construct a Casorati determinant solution to the T-system for U_{q}(A^{(2)}_{2n}),U_{q}(A^{(2)}_{2n-1}).
Keywords
Cite
@article{arxiv.0911.5368,
title = {Difference L operators and a Casorati determinant solution to the T-system for twisted quantum affine algebras},
author = {Zengo Tsuboi},
journal= {arXiv preprint arXiv:0911.5368},
year = {2009}
}
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15 pages