On exactly marginal deformations of 𝒩 = 4 SYM and Type IIB Supergravity on AdS5 × S5 View Full Text


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Article Info

DATE

2002-06-17

AUTHORS

Ofer Aharony, Barak Kol, Shimon Yankielowicz

ABSTRACT

= 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 = 1. We discuss the construction of the string theory dual to these deformations, in the supergravity approximation, in a perturbation series around the AdS5 × S5 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). More... »

PAGES

039

References to SciGraph publications

  • 2001-08-03. Multiple-trace operators and non-local string theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2000-01-26. Discrete torsion, AdS/CFT and duality in JOURNAL OF HIGH ENERGY PHYSICS
  • 1998-12-22. Novel local CFT and exact results on perturbations of N = 4 super Yang Mills from AdS dynamics in JOURNAL OF HIGH ENERGY PHYSICS
  • 2002-05-17. Exactly Marginal Deformations of 𝒩 = 4 SYM and of its Supersymmetric Orbifold Descendants in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1088/1126-6708/2002/06/039

    DOI

    http://dx.doi.org/10.1088/1126-6708/2002/06/039

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1027235079


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