Monopole Operators and Bulk-Boundary Relation in Holomorphic Topological Theories
arXiv:2111.00955 · doi:10.21468/SciPostPhys.14.6.153
Abstract
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. We briefly discuss the higher structures in both boundary and bulk algebras.
65 pages. Comments are welcome
References in corpus (7)
- Superconformal indices of three-dimensional theories related by mirror symmetry
- Holomorphic reduction of N=2 gauge theories, Wilson-'t Hooft operators, and S-duality
- Lectures on Wakimoto modules, opers and the center at the critical level
- SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry
- Topological Chern-Simons/Matter Theories
- Deformations of chiral algebras
- Tate's thesis in the de Rham Setting