Modified Algebraic Bethe Ansatz: Twisted XXX Case

Samuel Belliard (1, 2) , Nikita A. Slavnov , Benoit Vallet (2)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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.

Mots clés: integrable spin chain; algebraic Bethe ansatz; Baxter T-Q equation; quantum Wronskian equation.; family: 2; spin: chain; Bethe ansatz; spectral; algebra; twist; Heisenberg; Baxter; integrability; model: integrability; Yang-Baxter equation

Domaines: Physique mathématique [math-ph]; Physique des Hautes Energies - Théorie [hep-th]

Samuel Belliard, Nikita A. Slavnov, Benoit Vallet. Modified Algebraic Bethe Ansatz: Twisted XXX Case. SIGMA, 2018, 14, pp.054. ⟨10.3842/SIGMA.2018.054⟩. ⟨hal-01774008⟩