U(N) Matrix Difference Equations and a Nested Bethe Ansatz
H. Babujian, M. Karowski, A. Zapletal
TL;DR
This paper solves U(N)-matrix difference equations using a nested Bethe Ansatz, proving the highest weight property and providing explicit solutions, advancing the understanding of integrable systems.
Contribution
It introduces a nested Bethe Ansatz approach for U(N)-matrix difference equations and proves the highest weight property of solutions, extending previous methods.
Findings
Solutions explicitly calculated for specific cases
Highest weight property of solutions proved
Nested Bethe Ansatz effectively applied to matrix difference equations
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.)
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