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Families of conformal fixed points of N=2 Chern-Simons-matter theories

Chi-Ming Chang Jefferson Physical Laboratory, Harvard University, Cambridge, MA, 02138, U.S.A. Xi Yin Jefferson Physical Laboratory, Harvard University, Cambridge, MA, 02138, U.S.A.; School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, U.S.A.

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2206.74029

Journal of High Energy Physics, 2010, (108), 2010.5
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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@inproceedings{chi-ming2010families,
  title={Families of conformal fixed points of N=2 Chern-Simons-matter theories},
  author={Chi-Ming Chang, and Xi Yin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220629152953478653492},
  booktitle={Journal of High Energy Physics},
  volume={2010},
  number={108},
  year={2010},
}
Chi-Ming Chang, and Xi Yin. Families of conformal fixed points of N=2 Chern-Simons-matter theories. 2010. Vol. 2010. In Journal of High Energy Physics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220629152953478653492.
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