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Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
Інший ID:
2010 Mathematics Subject Classification: 81R12; 17B80; 37J35
DOI:10.3842/SIGMA.2017.094
DOI:10.3842/SIGMA.2017.094
Посилання:
Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary / N. Crampe // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 44 назв. — англ.
Підтримка:
I thank P. Baseilhac, S. Belliard and V. Caudrelier for their interest. This work has been done
during the stay of the author at the “Laboratoire de Math´ematiques et Physique Th´eorique
CNRS/UMR 7350, Universit´e de Tours”. I thank warmly the LMPT for hospitality.
Дата:
2017
Переглядів:
573
Завантажень:
241
Анотація:
We solve the XXZ Gaudin model with generic boundary using the modified algebraic Bethe ansatz. The diagonal and triangular cases have been recovered in this general framework. We show that the model for odd or even lengths has two different behaviors. The corresponding Bethe equations are computed for all the cases. For the chain with even length, inhomogeneous Bethe equations are necessary. The higher spin Gaudin models with generic boundary is also treated.
