Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-05-09
JHEP 0206:039,2002
Physics
High Energy Physics
High Energy Physics - Theory
45 pages, 1 figure, v2 - JHEP published version
Scientific paper
10.1088/1126-6708/2002/06/039
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).
Aharony Ofer
Kol Barak
Yankielowicz Shimon
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