Abstract
We study monopole operators at the infrared fixed points of U(1) Chern-Simons-matter theories (QED3, scalar QED3, \( \mathcal{N}=1 \) SQED3, and \( \mathcal{N}=2 \) SQED3) with N matter flavors and Chern-Simons level k. We work in the limit where both N and k are taken to be large with κ = k/N fixed. In this limit, we extract information about the low-lying spectrum of monopole operators from evaluating the S2 × S1 partition function in the sector where the S2 is threaded by magnetic flux 4πq. At leading order in N, we find a large number of monopole operators with equal scaling dimensions and a wide range of spins and flavor symmetry irreducible representations. In two simple cases, we deduce how the degeneracy in the scaling dimensions is broken by the 1/N corrections. For QED3 at κ = 0, we provide conformal bootstrap evidence that this near-degeneracy is in fact maintained to small values of N. For \( \mathcal{N}=2 \) SQED3, we find that the lowest dimension monopole operator is generically non-BPS.
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Chester, S.M., Iliesiu, L.V., Mezei, M. et al. Monopole operators in U(1) Chern-Simons-matter theories. J. High Energ. Phys. 2018, 157 (2018). https://doi.org/10.1007/JHEP05(2018)157
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DOI: https://doi.org/10.1007/JHEP05(2018)157