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arXiv · hep-th/0510221

Integrable Spin Chains with U(1)^3 symmetry and generalized Lunin-Maldacena backgrounds

L. Freyhult·C. Kristjansen·T. Mansson
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Abstract

We consider the most general three-state spin chain with U(1)^3 symmetry and nearest neighbour interaction. Our model contains as a special case the spin chain describing the holomorphic three scalar sector of the three parameter complex deformation of N=4 SYM, dual to type IIB string theory in the generalized Lunin-Maldacena backgrounds discovered by Frolov. We formulate the coordinate space Bethe ansatz, calculate the S-matrix and determine for which choices of parameters the S-matrix fulfills the Yang-Baxter equations. For these choices of parameters we furthermore write down the R-matrix. We find in total four classes of integrable models. In particular, each already known model of the above type is nothing but one in a family of such models.

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L. Freyhult, C. Kristjansen, T. Mansson. 2005-10-31. Integrable Spin Chains with U(1)^3 symmetry and generalized Lunin-Maldacena backgrounds. https://doi.org/10.1088/1126-6708%2F2005%2F12%2F008

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