2005/03/31 by Sergey Frolov · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Cosmology and Gravitation Theories #Deformation (meteorology) #Isometry (Riemannian geometry) #Lax pair #M-theory #Noncommutative and Quantum Gravity Theories #String (physics) #String theory #Supergravity #Transformation (genetics) #hep-th
paper · pdf · doi:10.1088/1126-6708/2005/05/069
published as JHEP 0505:069,2005 · 28 pages, v2: a discussion of a 4+2 parameter solution added in section 5; new Appendix B with a 6+2 parameter deformation of AdS_5 x S^5; typos corrected, references added, v3: typos corrected
arxiv created 2005/05/25 · openalex publication_date 2005/05/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
Recently Lunin and Maldacena used an SL(3,R) transformation of the AdS5 x S5 background to generate a supergravity solution dual to a so-called beta-deformation of N = 4 super Yang-Mills theory. We use a T-duality-shift-T-duality (TsT) transformation to obtain the beta-deformed background for real beta, and show that solutions of string theory equations of motion in this background are in one-to-one correspondence with those in AdS5 x 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 beta-deformed background. We also perform a chain of three consecutive TsT transformations to generate a three-parameter deformation of AdS5 x 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 x S5.