Monopoles in 2+1-dimensional conformal field theories with global U(1) symmetry

TL;DR

This paper calculates the scaling dimensions of monopoles in 2+1D conformal field theories with a U(1) symmetry, advancing understanding of their properties at the Wilson-Fisher fixed point.

Contribution

It provides the next-to-leading order in 1/N_b expansion for monopole scaling dimensions in the Wilson-Fisher fixed point of complex bosons.

Findings

Calculated monopole scaling dimensions using state-operator correspondence.

Derived the next-to-leading term in the 1/N_b expansion.

Enhanced understanding of monopoles in 2+1D conformal field theories.

Abstract

In 2+1-dimensional conformal field theories with a global U(1) symmetry, monopoles can be introduced through a background gauge field that couples to the U(1) conserved current. We use the state-operator correspondence to calculate scaling dimensions of such monopoles. We obtain the next-to-leading term in the 1/N_b expansion of the Wilson-Fisher fixed point in the theory of N_b complex bosons.