Monopole operators in U(1) Chern-Simons-matter theories
Abstract
We study monopole operators at the infrared fixed points of U(1) Chern-Simons-matter theories (QED3, scalar QED3, N=1 SQED3, and 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 S 2 × S 1 partition function in the sector where the S 2 is threaded by magnetic flux 4 πq. 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 N=2 SQED3, we find that the lowest dimension monopole operator is generically non-BPS.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- May 2018
- DOI:
- 10.1007/JHEP05(2018)157
- arXiv:
- arXiv:1710.00654
- Bibcode:
- 2018JHEP...05..157C
- Keywords:
-
- Conformal Field Theory;
- Solitons Monopoles and Instantons;
- High Energy Physics - Theory;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 52 pages plus appendices, 9 figures, v2: minor corrections