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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 099, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.099 (Mi sigma1080) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Slavnov and Gaudin–Korepin Formulas for Models without $\mathrm{U}(1)$ Symmetry: the Twisted XXX Chain

Samuel Belliarda, Rodrigo A. Pimentabc

a Laboratoire de Physique Théorique et Modélisation (CNRS UMR 8089), Université de Cergy-Pontoise, F-95302 Cergy-Pontoise, France
b Departamento de Física, Universidade Federal de São Carlos, Caixa Postal 676, CEP 13565-905, São Carlos, Brasil
c Physics Department, University of Miami, P.O. Box 248046, FL 33124, Coral Gables, USA
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DOI: https://doi.org/10.3842/SIGMA.2015.099
Abstract: We consider the XXX spin-$\frac{1}{2}$ Heisenberg chain on the circle with an arbitrary twist. We characterize its spectral problem using the modified algebraic Bethe anstaz and study the scalar product between the Bethe vector and its dual. We obtain modified Slavnov and Gaudin–Korepin formulas for the model. Thus we provide a first example of such formulas for quantum integrable models without $\mathrm{U}(1)$ symmetry characterized by an inhomogenous Baxter T-Q equation.
Keywords: algebraic Bethe ansatz; integrable spin chain; scalar product.
Received: September 2, 2015; in final form December 2, 2015; Published online December 4, 2015
Bibliographic databases:
Document Type: Article
MSC: 82B23; 81R12
Language: English
Citation: Samuel Belliard, Rodrigo A. Pimenta, “Slavnov and Gaudin–Korepin Formulas for Models without $\mathrm{U}(1)$ Symmetry: the Twisted XXX Chain”, SIGMA, 11 (2015), 099, 12 pp.
Citation in format AMSBIB
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\paper Slavnov and Gaudin--Korepin Formulas for Models without $\mathrm{U}(1)$~Symmetry: the Twisted XXX Chain
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    • This publication is cited in the following 19 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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