Monopole operators in U(1) ChernSimonsmatter theories
Abstract
We study monopole operators at the infrared fixed points of U(1) ChernSimonsmatter theories (QED_{3}, scalar QED_{3}, N=1 SQED_{3}, and N=2 SQED_{3}) with N matter flavors and ChernSimons 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 lowlying 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 QED_{3} at κ = 0, we provide conformal bootstrap evidence that this neardegeneracy is in fact maintained to small values of N. For N=2 SQED_{3}, we find that the lowest dimension monopole operator is generically nonBPS.
 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
 EPrint:
 52 pages plus appendices, 9 figures, v2: minor corrections