Integrable inhomogeneous spin chains in generalized Lunin-Maldacena backgrounds
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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Format: | Digital revista |
Language: | English |
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Sociedade Brasileira de Física
2008
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Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000400017 |
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