Aspects of monopole operators in N=6 Chern-Simons theory

Understand

We study local operators of U(N)xU(N) N=6 Chern-Simons-matter theory including a class of magnetic monopole operators.

• To take into account the interaction of monopoles and basic fields for large Chern-Simons level k, we consider the appropriate perturbation theory in 1/k which reliably describes small excitations around protected chiral operators.
• We also compute the superconformal index with some simple monopole operators and show that it agrees with the recent result obtained from localization.
• For this agreement, it is crucial that excitations of gauge fields and some matter scalars mix, which is described classically by odd dimensional self-duality like equations.