Matching 3d N=2 Vortices and Monopole Operators

Understand

In earlier work with N.

• Seiberg, we explored connections between monopole operators, the Coulomb branch modulus, and vortices for 3d, N=2 supersymmetric, $U(1)_k$ Chern-Simons matter theories.
• We here extend the monopole / vortex matching analysis, to theories with general matter electric charges.
• We verify, for general matter content, that the spin and other quantum numbers of the chiral monopole operators match those of corresponding BPS vortex states, at the top and bottom of the tower associated with quantizing the vortices' Fermion zero modes.