Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds

AUTOR(ES)

Lazo, Matheus Jatkoske

FONTE

Brazilian Journal of Physics

DATA DE PUBLICAÇÃO

2008-09

RESUMO

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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