期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 5, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP05(2018)157
关键词
Conformal Field Theory; Solitons Monopoles and Instantons
资金
- U.S. Department of Energy [DE-SC0016244]
- National Science Foundation [PHY-1607611]
- US NSF [PHY-1418069]
- Simons Foundation [488653]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1418069] Funding Source: National Science Foundation
We study monopole operators at the infrared fixed points of U(1) ChernSimons-matter theories (QED(3), scalar QED(3), N = 1 SQED(3), and N = 2 SQED(3)) 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 kappa = k/N fixed. In this limit, we extract information about the low-lying spectrum of monopole operators from evaluating the S-2 x S-1 partition function in the sector where the S-2 is threaded by magnetic flux 4 pi q. 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 kappa = 0, we provide conformal bootstrap evidence that this near-degeneracy is in fact maintained to small values of N. For N = 2 SQED(3), we find that the lowest dimension monopole operator is generically non-BPS.
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