Monopole Operators and Bulk-Boundary Relation in Holomorphic Topological Theories

Understand

We study the holomorphic twist of 3d N = 2 supersymmetric field theories, discuss the perturbative bulk local operators in general, and explicitly construct non perturbative bulk local operators for abelian gauge theories.

• Our construction is verified by matching the character of the algebra with the superconformal index.
• We test a conjectural relation between the derived center of boundary algebras and bulk algebras in various cases, including Landau-Ginzburg models with an arbitrary superpotential and some abelian gauge theories.
• In the latter cases, monopole operators appear in the derived center of a perturbative boundary algebra.