Integrable spin chains with U(1)3symmetry and generalized Lunin-Maldacena backgrounds | Zendy

Lisa Freyhult | Zendy; Charlotte Kristjansen | Zendy; Teresia Månsson | Zendy

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Integrable spin chains with U(1)³symmetry and generalized Lunin-Maldacena backgrounds

Author(s) -

Lisa Freyhult,

Charlotte Kristjansen,

Teresia Månsson

Publication year - 2005

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 - 10.1088/1126-6708/2005/12/008

Subject(s) - integrable system , mathematical physics , bethe ansatz , physics , holomorphic function , scalar (mathematics) , spin (aerodynamics) , string (physics) , ansatz , matrix (chemical analysis) , symmetry (geometry) , chain (unit) , type (biology) , quantum mechanics , theoretical physics , pure mathematics , mathematics , geometry , ecology , biology , materials science , composite material , thermodynamics

We consider the most general three-state spin chain with U(1)^3 symmetry andnearest neighbour interaction. Our model contains as a special case the spinchain describing the holomorphic three scalar sector of the three parametercomplex deformation of N=4 SYM, dual to type IIB string theory in thegeneralized Lunin-Maldacena backgrounds discovered by Frolov. We formulate thecoordinate space Bethe ansatz, calculate the S-matrix and determine for whichchoices of parameters the S-matrix fulfills the Yang-Baxter equations. Forthese choices of parameters we furthermore write down the R-matrix. We find intotal four classes of integrable models. In particular, each already knownmodel of the above type is nothing but one in a family of such models.Comment: 16 pages, 3 figures, references correcte

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