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On Exactly Marginal Deformations of N=4 SYM and Type IIB Supergravity on AdS₅ * S⁵

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arxiv hep-th/0205090 v2 pith:SHHQXQ7J submitted 2002-05-09 hep-th

On Exactly Marginal Deformations of N=4 SYM and Type IIB Supergravity on AdS_5 * S^5

Ofer Aharony , Barak Kol , Shimon Yankielowicz This is my paper
classification hep-th
keywords deformationsmarginalexactlyordersolutionsupergravitytheorybeta
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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N=4 supersymmetric Yang-Mills theory with gauge group SU(n) (n>=3) is believed to have two exactly marginal deformations which break the supersymmetry to N=1. We discuss the construction of the string theory dual to these deformations, in the supergravity approximation, in a perturbation series around the AdS_5 * S^5 solution. We construct explicitly the deformed solution at second order in the deformation. We show that deformations which are marginal but not exactly marginal lead to a non-conformal solution with a logarithmically running coupling constant. Surprisingly, at third order in the deformation we find the same beta functions for the couplings in field theory and in supergravity, suggesting that the leading order beta functions (or anomalous dimensions) do not depend on the gauge coupling (the coefficient is not renormalized).

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