TL;DR
This paper investigates the conformal index in four-dimensional theories, demonstrating its consistency with existing methods and revealing additional exactly marginal deformations in certain examples.
Contribution
It establishes the conformal index's consistency with the Leigh-Strassler method and uncovers extra marginal deformations beyond previous results.
Findings
Conformal index matches Leigh-Strassler predictions in weakly coupled theories.
The method discovers additional exactly marginal deformations in several examples.
The approach is validated against known theoretical models.
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 [This is an unpublished paper dated 3.3.03.]
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Geometric Analysis and Curvature Flows · Nonlinear Waves and Solitons