Samuel Belliard, Nikita A. Slavnov, Benoit Vallet, “Modified Algebraic Bethe Ansatz: Twisted XXX Case”, SIGMA, 2018, Volume 14,054, 18 pp.

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SIGMA, 2018 Volume 14, 054, 18 pp. (Mi sigma1353)

This article is cited in 11 papers

Modified Algebraic Bethe Ansatz: Twisted XXX Case

Samuel Belliard^ab, Nikita A. Slavnov^c, Benoit Vallet^a

^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.

MSC: 82R53; 81R12

Received: April 9, 2018; in final form May 28, 2018; Published online June 7, 2018

Language: English

DOI: 10.3842/SIGMA.2018.054

Bibliographic databases:

ArXiv: 1804.00597

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