Monopole operators in N=4 Chern-Simons theories and wrapped M2-branes

TL;DR

This paper explores monopole operators in N=4 Chern-Simons theories, establishing a correspondence with wrapped M2-branes in the dual geometry, and analyzes their magnetic charge structure within circular quiver diagrams.

Contribution

It introduces a novel correspondence between monopole operators and wrapped M2-brane states in the context of N=4 Chern-Simons theories with circular quivers.

Findings

Magnetic charges form the SU(p)×SU(q) root lattice.

Proposed correspondence between root vector monopole operators and wrapped M2-brane states.

Analysis of gauge symmetry and charge lattice structure.

Abstract

Monopole operators in Abelian N=4 Chern-Simons theories described by circular quiver diagrams are investigated. The magnetic charges of non-diagonal U(1) gauge symmetries form the SU(p)xSU(q) root lattice where p and q are numbers of untwisted and twisted hypermultiplets, respectively. For monopole operators corresponding to the root vectors, we propose a correspondence between the monopole operators and states of a wrapped M2-brane in the dual geometry.