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Slavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chain
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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Slavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chain
Інший ID:
2010 Mathematics Subject Classification: 82B23; 81R12
DOI:10.3842/SIGMA.2015.099
DOI:10.3842/SIGMA.2015.099
Посилання:
Slavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chain / S. Belliard, R.A. Pimenta // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 37 назв. — англ.
Підтримка:
We thank J. Avan, N. Grosjean and R Nepomechie for discussions. R.A.P. would like to thanks
the hospitality of the Laboratoire de Physique Th´eorique et Mod´elisation at the Universit´e
de Cergy-Pontoise where a part of this work was done. S.B. is supported by the Universit´e de
Cergy-Pontoise post doctoral fellowship. R.A.P. is supported by Sao Paulo Research Foundation
(FAPESP), grants # 2014/00453-8 and # 2014/20364-0. We also thank the referees for their
constructive remarks.
Дата:
2015
Переглядів:
543
Завантажень:
279
Анотація:
We consider the XXX spin-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 U(1) symmetry characterized by an inhomogenous Baxter T-Q equation.
