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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

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

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