Ten-dimensional super-Yang-Mills with nine off-shell supersymmetries

TL;DR

This paper constructs a formulation of ten-dimensional super-Yang-Mills theory with nine off-shell supersymmetries by adding auxiliary scalars and relates it to topological symmetries in eight dimensions, also providing a superspace action.

Contribution

It introduces a new off-shell formulation of d=10 super-Yang-Mills with nine supersymmetries and connects it to topological symmetries via dimensional reduction, including a superspace action.

Findings

Nine off-shell supersymmetries close with auxiliary scalars.

Relation to scalar and vector topological symmetries in d=8.

Gauge-invariant superspace action with nine theta variables.

Abstract

After adding 7 auxiliary scalars to the d=10 super-Yang-Mills action, 9 of the 16 supersymmetries close off-shell. In this paper, these 9 supersymmetry generators are related by dimensional reduction to scalar and vector topological symmetry in $\N$=2 d=8 twisted super-Yang-Mills. Furthermore, a gauge-invariant superspace action is constructed for d=10 super-Yang-Mills where the superfields depend on 9 anticommuting theta variables.