Remarks on Topological SUSY in sixdimensional TQFTs

TL;DR

This paper demonstrates the presence of topological vector supersymmetry in six-dimensional topological field theories with two-form fields, linking it to the twist of (2,0) supersymmetry and comparing it to topological Yang-Mills symmetries.

Contribution

It establishes the existence of topological vector supersymmetry in 6D TQFTs for two-form fields and explores its relation to supersymmetry twisting and Yang-Mills theories.

Findings

Topological vector supersymmetry exists in 6D TQFTs for two-form fields.

The symmetries relate to the twist of (2,0) supersymmetry.

Resemblance to symmetries in topological Yang-Mills theory.

Abstract

We establish the existence of the topological vector supersymmetry in the six dimensional topological field theory for two-form fields introduced by Baulieu and West. We investigate the relation of these symmetries to the twist operation for the (2,0) supersymmetry and comment on their resemblance to the analogous symmetries in topological Yang-Mills theory.