Integrable Inhomogeneous Spin Chains in Generalized Lunin-Maldacena Backgrounds

Details Integrable Inhomogeneous Spin Chains in Generalized Lunin-Maldacena Backgrounds Integrable Inhomogeneous Spin Chains in Generalized Lunin-Maldacena Backgrounds

2008-10-18

arxiv.org/abs/0810.3344v2

Braz.J.Phys.38:472-476,2008

Physics

High Energy Physics

High Energy Physics - Theory

Change in references. Talk given at II Latin American Workshop on High Energy Phenomenology and published in Brazilian Journal

Scientific paper

10.1590/S0103-97332008000400017

We obtain through a Matrix Product Ansatz the exact solution of the most general inhomogeneous spin chain with nearest neighbor interaction and with $U(1)^2$ and $U(1)^3$ symmetries. These models are related to the one loop mixing matrix of the Leigh-Strassler deformed N=4 SYM theory, dual to type IIB string theory in the generalized Lunin-Maldacena backgrounds, in the sectors of two and three kinds of fields, respectively. The solutions presented here generalizes the results obtained by the author in a previous work for homogeneous spins chains with $U(1)^N$ symmetries in the sectors of N=2 and N=3.

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