Pure spinor superspace action for D=6, N=1 super-Yang-Mills theory

TL;DR

This paper develops a pure spinor superspace formalism for six-dimensional N=1 super-Yang-Mills theory, including hypermultiplet couplings, providing an off-shell superspace approach that differs from maximally supersymmetric models.

Contribution

It introduces a novel pure spinor superfield formalism for D=6, N=1 super-Yang-Mills, enabling off-shell matter hypermultiplet descriptions and examining unique geometric properties.

Findings

Constructed a BV action using pure spinor superfields.

Analyzed geometric properties of D=6, N=1 pure spinors.

Provided an off-shell superspace formulation for hypermultiplets.

Abstract

A Batalin-Vilkovisky action for D=6, N=1 super-Yang--Mills theory, including coupling to hypermultiplets, is given. The formalism involves pure spinor superfields. The geometric properties of the D=6, N=1 pure spinors (which differ from Cartan pure spinors) are examined. Unlike the situation for maximally supersymmetric models, the fields and antifields (including ghosts) of the vector multiplet reside in separate superfields. The formalism provides an off-shell superspace formulation for matter hypermultiplets, which in a traditional treatment are on-shell.