English

Good IR Duals of Bad Quiver Theories

High Energy Physics - Theory 2018-05-28 v4 Mathematical Physics math.MP

Abstract

The infrared dynamics of generic 3d N=4 bad theories (as per the good-bad-ugly classification of Gaiotto and Witten) are poorly understood. Examples of such theories with a single unitary gauge group and fundamental flavors have been studied recently, and the low energy effective theory around some special point in the Coulomb branch was shown to have a description in terms of a good theory and a certain number of free hypermultiplets. A classification of possible infrared fixed points for bad theories by Bashkirov, based on unitarity constraints and superconformal symmetry, suggest a much richer set of possibilities for the IR behavior, although explicit examples were not known. In this note, we present a specific example of a bad quiver gauge theory which admits a good IR description on a sublocus of its Coulomb branch. The good description, in question, consists of two decoupled quiver gauge theories with no free hypermultiplets.

Keywords

Cite

@article{arxiv.1712.06068,
  title  = {Good IR Duals of Bad Quiver Theories},
  author = {Anindya Dey and Peter Koroteev},
  journal= {arXiv preprint arXiv:1712.06068},
  year   = {2018}
}

Comments

20 pages, 3 figures. Discussion of the Coulomb branch singularities is further extended