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This article is cited in 11 scientific papers (total in 11 papers)
Modified Algebraic Bethe Ansatz: Twisted XXX Case
Samuel Belliardab, Nikita A. Slavnovc, Benoit Valleta a Institut de Physique Théorique, DSM, CEA, URA2306 CNRS Saclay, F-91191, Gif-sur-Yvette, France
b Sorbonne Université, CNRS, Laboratoire de Physique
Théorique et Hautes Energies, LPTHE, А-75005, Paris, France
c Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Abstract:
We prove the modified algebraic Bethe Ansatz characterization of the spectral problem for the closed XXX Heisenberg spin chain with an arbitrary twist and arbitrary positive (half)-integer spin at each site of the chain. We provide two basis to characterize the spectral problem and two families of inhomogeneous Baxter T-Q equations. The two families satisfy an inhomogeneous quantum Wronskian equation.
Keywords:
integrable spin chain; algebraic Bethe ansatz; Baxter T-Q equation; quantum Wronskian equation.
Received: April 9, 2018; in final form May 28, 2018; Published online June 7, 2018
Citation:
Samuel Belliard, Nikita A. Slavnov, Benoit Vallet, “Modified Algebraic Bethe Ansatz: Twisted XXX Case”, SIGMA, 14 (2018), 054, 18 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1353 https://www.mathnet.ru/eng/sigma/v14/p54
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