TY - JOUR

T1 - Monopole operators in U(1) Chern-Simons-matter theories

AU - Chester, Shai M.

AU - Iliesiu, Luca V.

AU - Mezei, Márk

AU - Pufu, Silviu S.

N1 - Funding Information:
We thank E. Dyer for collaboration during the initial stages of the project and many helpful discussions. We also thank T. Dumitrescu, S. Giombi, P.-S. Hsin, Z. Komargodski, B. Le Floch, and G. Tarnopolsky for useful discussions. The research of MM was supported in part by the U.S. Department of Energy under grant No. DE-SC0016244. MM’s work was performed in part at the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607611. SSP was supported in part by the US NSF under Grant No. PHY-1418069 and by the Simons Foundation Grant No. 488653.

PY - 2018/5/1

Y1 - 2018/5/1

N2 - 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 S2× S1partition function in the sector where the S2is 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 QED3at 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.

AB - 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 S2× S1partition function in the sector where the S2is 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 QED3at 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.

KW - Conformal Field Theory

KW - Solitons Monopoles and Instantons

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U2 - 10.1007/JHEP05(2018)157

DO - 10.1007/JHEP05(2018)157

M3 - Article

AN - SCOPUS:85047667040

VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 5

M1 - 157

ER -