Towards a stringy extension of self-dual super Yang-Mills

TL;DR

This paper develops a particle model that, when quantized, describes self-dual super Yang-Mills theory in 2+2 dimensions, incorporating world-line supersymmetry and kappa symmetry, motivated by extending N=2 string theories.

Contribution

It introduces a novel particle model that provides a space-time supersymmetric extension of self-dual super Yang-Mills in 2+2 dimensions.

Findings

Constructed a particle model with world-line supersymmetry and kappa symmetry.

Quantization yields a description of abelian self-dual super Yang-Mills.

Provides insights into supersymmetric extensions related to N=2 string theories.

Abstract

Motivated by the search for a space-time supersymmetric extension of the N=2 string, we construct a particle model which, upon quantization, describes (abelian) self-dual super Yang-Mills in 2+2 dimensions. The local symmetries of the theory are shown to involve both world-line supersymmetry and kappa symmetry.