Abstract
We study monopole operators with the lowest possible topological charge q = 1/2 at the infrared fixed point of scalar electrodynamics in 2 + 1 dimension (scalar QED3) with N complex scalars and Chern-Simons coupling |k| = N. In the large N expansion, monopole operators in this theory with spins $$ \mathrm{\ell}<O\left(\sqrt{N}\right) $$
ℓ
<
O
N
and associated flavor representations are expected to have the same scaling dimension to sub-leading order in 1/N. We use the state-operator correspondence to calculate the scaling dimension to sub-leading order with the result N − 0.2743 + O(1/N), which improves on existing leading order results. We also compute the ℓ2/N term that breaks the degeneracy to sub-leading order for monopoles with spins $$ \mathrm{\ell}=O\left(\sqrt{N}\right) $$
ℓ
=
O
N
.
Monopole Operators in 𝓝 = 4 Chern-Simons Theories and Wrapped M2-Branes
