Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary

Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary

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 f...

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Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2017-01, Vol.13
1. Verfasser: Crampe, Nicolas
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mathematical models
Mathematical Physics
Mathematics
Physics
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Zusammenfassung: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. [ProQuest: [...] denotes formulae omitted.]
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2017.094