A domain wall in twisted M-theory

TL;DR

This paper investigates a four-dimensional domain wall in twisted M-theory, connecting algebraic structures to holography and supersymmetric field theories through intersecting branes and vertex operator algebras.

Contribution

It identifies the classical operator algebra on the domain wall as a higher vertex operator algebra and proposes a quantum deformation related to the bulk operator algebra, advancing twisted holography understanding.

Findings

Classical operator algebra described by a higher vertex operator algebra.

Quantum deformation conjectured to match the bulk operator algebra.

Establishment of twisted holography for the domain wall.

Abstract

We study a four-dimensional domain wall in twisted M-theory. The domain wall is engineered by intersecting D6 branes in the type IIA frame. We identify the classical algebra of operators on the domain wall in terms of a higher vertex operator algebra, which describes the holomorphic subsector of a 4d $\mathcal{N}=1$ supersymmetric field theory, and compute the associated mode algebra. We conjecture that the quantum deformation of the classical algebra is isomorphic to the bulk algebra of operators from which we establish twisted holography of the domain wall.