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arXiv · 1309.1160

Monopole Taxonomy in Three-Dimensional Conformal Field Theories

Ethan Dyer·Márk Mezei·Silviu S. Pufu
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Abstract

We study monopole operators at the infrared fixed points of Abelian and non-Abelian gauge theories with N_f fermion flavors in three dimensions. At large N_f, independent monopole operators can be defined via the state-operator correspondence only for stable monopole backgrounds. In Abelian theories, every monopole background is stable. In the non-Abelian case, we find that many (but not all) backgrounds are stable in each topological class. We calculate the infrared scaling dimensions of the corresponding operators through next-to-leading order in 1/N_f. In the case of U(N_c) QCD with N_f fundamental fermions (and in particular in the QED case, N_c =1), we find that the monopole operators transform as non-trivial irreducible representations of the SU(N_f) flavor symmetry group.

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Ethan Dyer, Márk Mezei, Silviu S. Pufu. 2013-09-04. Monopole Taxonomy in Three-Dimensional Conformal Field Theories. https://arxiv.org/abs/1309.1160

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