Lax pair for strings in Lunin-Maldacena background.
Item Type:Journal Article
Citation:Sergey Frolov, Lax pair for strings in Lunin-Maldacena background., Journal of High Energy Physics, 5, 5, 2005, 069
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Recently Lunin andMaldacena used an SL(3,R) transformation of the AdS5?S5 background to generate a supergravity solution dual to a so-called -deformation of N = 4 super Yang-Mills theory. We use a T-duality-shift-T-duality (TsT) transformation to obtain the -deformed background for real ? , and show that solutions of string theory equations of motion in this background are in one-to-one correspondence with those in AdS5 ?S5 with twisted boundary conditions imposed on the U(1) isometry fields. We then apply the TsT transformation to derive a local and periodic Lax pair for the bosonic part of string theory in the -deformed background. We also perform a chain of three consecutive TsT transformations to generate a three-parameter deformation of AdS5 ? S5. The three-parameter background is dual to a nonsupersymmetric marginal deformation of N = 4 SYM. Finally, we combine the TsT transformations with SL(2,R) ones to obtain a 6 + 2 parameter deformation of AdS5 ? S5.
Author: FROLOV, SERGEY
Type of material:Journal Article
Series/Report no:Journal of High Energy Physics
Availability:Full text available