Families of Conformal Fixed Points of N=2 Chern-Simons-Matter Theories

Details Families of Conformal Fixed Points of N=2 Chern-Simons-Matter Theories Families of Conformal Fixed Points of N=2 Chern-Simons-Matter Theories

2010-02-02

arxiv.org/abs/1002.0568v2

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 108 figures

Scientific paper

We argue that a large class of N=2 Chern-Simons-matter theories in three dimensions have a continuous family of exact IR fixed points described by suitable quartic superpotentials, based on holomorphy. The entire family exists in the perturbative regime. A nontrivial check is performed by computing the 4-loop beta function of the quartic couplings, in the 't Hooft limit, with a large number of flavors. We find that the 4-loop beta function can only deform the family of 2-loop fixed points, and does not change the dimension of this family. We further present an explicit computation of a perturbative correction to the Zamolodchikov metric on this space of three-dimensional superconformal field theories.

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