Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetrict-JModel | Zendy

WenLi Yang | Zendy; Yao-Zhong Zhang | Zendy; Shao-You Zhao | Zendy

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Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetrict-JModel

Author(s) -

WenLi Yang,

Yao-Zhong Zhang,

Shao-You Zhao

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/12/038

Subject(s) - bethe ansatz , monodromy matrix , invariant (physics) , basis (linear algebra) , algebraic number , monodromy , mathematics , matrix (chemical analysis) , pure mathematics , supersymmetry , physics , mathematical physics , algebra over a field , combinatorics , quantum mechanics , integrable system , eigenvalues and eigenvectors , mathematical analysis , geometry , materials science , composite material

We construct the Drinfeld twists (factorizing $F$-matrices) for thesupersymmetric t-J model. Working in the basis provided by the $F$-matrix (i.e.the so-called $F$-basis), we obtain completely symmetric representations of themonodromy matrix and the pseudo-particle creation operators of the model. Theseenable us to resolve the hierarchy of the nested Bethe vectors for the$gl(2|1)$ invariant t-J model.Comment: 23 pages, no figure, Latex file, minor misprints are correcte

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