Higgs and coulomb branches from superconformal raviolo vertex algebras

TL;DR

This paper introduces a novel method to derive Higgs and Coulomb branches of 3D N=4 quantum field theories using raviolo vertex algebras, paralleling known structures in superconformal theories.

Contribution

It develops a new formalism connecting raviolo vertex algebras with the geometric structures of Higgs and Coulomb branches in supersymmetric theories.

Findings

Establishes a formalism linking raviolo vertex algebras to Higgs and Coulomb branches.

Provides a framework to extract geometric data from algebraic structures in supersymmetric QFTs.

Parallels the construction of chiral rings in N=2 theories.

Abstract

We propose a method for extracting the Higgs and Coulomb branches of a three-dimensional N = 4 quantum field theory from the algebra of local operators in its holomorphic-topological twist using the formalism of raviolo vertex algebras. Our construction parallels that of the chiral ring and twisted chiral ring of an N = 2 superconformal vertex operator algebra.