U(N) Matrix Difference Equations and a Nested Bethe Ansatz

Abstract

A system of U(N)-matrix difference equations is solved by means of a nested version of a generalized Bethe Ansatz. The highest weight property of the solutions is proved and some examples of solutions are calculated explicitly. (Part II of a series of articles on the generalized nested Bethe Ansatz and difference equations.)

17 pages, LaTeX

References in corpus (1)

• SU(N) Matrix Difference Equations and a Nested Bethe Ansatz

Cited by in corpus (14)

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• Form Factors, Thermal States and Modular Structures
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• Bethe Vectors for Composite Models with $\mathfrak{gl}(2|1)$ and $\mathfrak{gl}(1|2)$ Supersymmetry
• Difference Equations and Highest Weight Modules of U_q[sl(n)]
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• Asymptotic factorization of n-particle SU(N) form factors
• Matrix difference equations for the supersymmetric Lie algebra sl(2,1) and the `off-shell' Bethe ansatz