Lax pair for strings in Lunin-Maldacena background.
Citation:
Sergey Frolov, Lax pair for strings in Lunin-Maldacena background., Journal of High Energy Physics, 5, 5, 2005, 069Download Item:
Abstract:
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's Homepage:
http://people.tcd.ie/frolovsDescription:
PUBLISHED
Author: FROLOV, SERGEY
Type of material:
Journal ArticleSeries/Report no:
Journal of High Energy Physics5
5
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Full text availableKeywords:
Mathematics, string theory, super Yang-Mills theoryMetadata
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