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 monopole insertions. We obtain the next-to-leading term in the 1/Nb expansion of the Wilson-Fisher fixed point in the theory of Nb complex bosons.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Field theories in higher dimensions
- Global symmetries
- Solitons monopoles and instantons