Abstract
We argue that a large class of \( \mathcal{N} = 2 \) 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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ArXiv ePrint: 1002.0568
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Chang, CM., Yin, X. Families of conformal fixed points of \( \mathcal{N} = 2 \) Chern-Simons-matter theories. J. High Energ. Phys. 2010, 108 (2010). https://doi.org/10.1007/JHEP05(2010)108
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DOI: https://doi.org/10.1007/JHEP05(2010)108