English

Bethe Ansatz and Bethe Vectors Scalar Products

Mathematical Physics 2010-12-15 v2 Strongly Correlated Electrons math.MP

Abstract

An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra Uq(gl^3)U_q(\hat{\mathfrak{gl}}_3) is given. This result is obtained in the framework of the universal Bethe ansatz, using presentation of the universal Bethe vectors in terms of the total currents of a "new" realization of the quantum affine algebra Uq(gl^3)U_q(\hat{\mathfrak{gl}}_3).

Keywords

Cite

@article{arxiv.1012.1455,
  title  = {Bethe Ansatz and Bethe Vectors Scalar Products},
  author = {Samuel Belliard and Stanislav Pakuliak and Eric Ragoucy},
  journal= {arXiv preprint arXiv:1012.1455},
  year   = {2010}
}

Comments

SIGMA proceedings of RAQIS'10 (Recent Advances in Quantum Integrable Systems), June 15-18, 2010, LAPTH, Annecy-le-Vieux France

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