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 - Publisher Copyright:
© 2018, The Author(s).
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
SN - 1126-6708
VL - 2018
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 5
M1 - 157
ER -