Boundary Chiral Algebras and Holomorphic Twists

We study the holomorphic twist of 3d N=2$$\mathcal{N}=2$$ gauge theories in the presence of boundaries, and the algebraic structure of bulk and boundary local operators. In the holomorphic twist, both bulk and boundary local operators form chiral algebras (a.k.a. vertex algebras). The bulk algebra is commutative, endowed with a shifted Poisson bracket and a “higher” stress tensor; while the boundary algebra is a module for the bulk, may not be …