Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry
Gerrard, Allan, MacKay, Niall and Regelskis, Vidas
(2019)
Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry.
Annales Henri Poincaré, 20 (2).
pp. 339-392.
ISSN 1424-0637
We present a nested algebraic Bethe ansatz for a one-dimensional open spin chain whose boundary quantum spaces are irreducible so 2 n - or sp 2 n -representations, and the monodromy matrix satisfies the defining relations of the Olshanskii twisted Yangian Y ± (gl 2 n ). We use a generalization of the Bethe ansatz introduced by De Vega and Karowski which allows us to relate the spectral problem of a so 2 n - or sp 2 n -symmetric open spin chain to that of a gl n -symmetric periodic spin chain. We explicitly derive the structure of the Bethe vectors and the nested Bethe equations.
Item Type | Article |
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Keywords | statistical and nonlinear physics, nuclear and high energy physics, mathematical physics |
Date Deposited | 15 May 2025 13:55 |
Last Modified | 04 Jun 2025 17:09 |
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