Lax Pair for Strings in Lunin-Maldacena Background
Year: 2005
Type: preprint
Abstract: Recently Lunin and Maldacena used an SL(3,R) transformation of the AdS5×S5 background to generate a supergravity solution dual to a so-called β-deformation of N = 4 super Yang-Mills theory. We use a T-duality-shift-T-duality (TsT) transformation to obtain the β-deformed background for real β ≡ γ, and show that solutions of string theory equations of motion in this background are in one-to-one correspondence with those in AdS5 ×S 5 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 γ-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
Institution: State University of New York
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3102329743