On Conformal Deformations II

Abstract

The conformal index counts the number of exactly marginal deformations. In 4d the index is given by the number of chiral primary operators of dimension 3 moded out by the complexified global group, where the quotient is defined as usual by imposing a D-term. Here we show its consistency with the Leigh-Strassler method for weakly coupled theories, and we test it against known examples. In several examples this method discovers extra exactly marginal deformations beyond those of Leigh-Strassler. [This is an unpublished paper dated 3.3.03.]

16 pages

References in corpus (2)

• Large N Field Theories, String Theory and Gravity
• General matter coupled N=2, D=5 gauged supergravity

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• Marginal deformations of 3d $\mathcal{N}=2$ CFTs from AdS${}_4$ backgrounds in generalised geometry
• The Conformal Manifold of Chern-Simons Matter Theories
• Broken current anomalous dimensions, conformal manifolds and RG flows
• a-Maximization, Global Symmetries and RG Flows
• Integrable Hopf twists, marginal deformations and generalised geometry
• Superspace formulation of the local RG equation
• CFTs on curved spaces
• Dynamical SUSY Breaking and the Beta-Deformation