Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-04-21
Phys.Lett. B488 (2000) 373-382
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, latex2e, 1 figure. v2: minor modifications, version to appear in PLB
Scientific paper
10.1016/S0370-2693(00)00896-0
We study flows on the scalar manifold of N=8 gauged supergravity in five dimensions which are dual to certain mass deformations of N=4 super Yang--Mills theory. In particular, we consider a perturbation of the gauge theory by a mass term for the adjoint hyper-multiplet, giving rise to an N=2 theory. The exact solution of the 5-dim gauged supergravity equations of motion is found and the metric is uplifted to a ten-dimensional background of type-IIB supergravity. Using these geometric data and the AdS/CFT correspondence we analyze the spectra of certain operators as well as Wilson loops on the dual gauge theory side. The physical flows are parametrized by a single non-positive constant and describe part of the Coulomb branch of the N=2 theory at strong coupling. We also propose a general criterion to distinguish between `physical' and `unphysical' curvature singularities. Applying it in many backgrounds arising within the AdS/CFT correspondence we find results that are in complete agreement with field theory expectations.
Brandhuber Andreas
Sfetsos Konstadinos
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