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arXiv · 0911.5368

Difference L operators and a Casorati determinant solution to the T-system for twisted quantum affine algebras

Zengo Tsuboi
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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}).

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Zengo Tsuboi. 2009-11-28. Difference L operators and a Casorati determinant solution to the T-system for twisted quantum affine algebras. https://doi.org/10.1088/0305-4470%2F35%2F19%2F316

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