N=1 Supersymmetric Renormalization Group Flows from IIB Supergravity
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We consider N=1 supersymmetric renormalization group flows of N=4 Yang-Mills theory from the perspective of ten-dimensional IIB supergravity. We explicitly construct the complete ten-dimensional lift of the flow in which exactly one chiral superfield becomes massive (the LS flow). We also examine the ten-dimensional metric and dilaton configurations for the ``super-QCD'' flow (the GPPZ flow) in which all chiral superfields become massive. We show that the latter flow generically gives rise to a dielectric 7-brane in the infra-red, but the solution contains a singularity that may be interpreted as a ``duality averaged'' ring distribution of 5-branes wrapped on S^2. At special values of the parameters the singularity simplifies to a pair of S-dual branes with (p,q) charge (1,\pm 1).
42 pages, harvmac; new version has minor editorial corrections, and a substantially improved discussion of the singularity structure in infra-red limit of the N=1, super-QCD flow
42 pages, harvmac; new version has minor editorial corrections, and a substantially improved discussion of the singularity structure in infra-red limit of the N=1, super-QCD flow