Six-Dimensional TQFTs and Twisted Supersymmetry

TL;DR

This paper generalizes six-dimensional topological quantum field theories for Abelian two-forms, explores their relation to twisted supersymmetry, and briefly discusses interactions and self-dual three-forms in higher dimensions.

Contribution

It introduces a new class of six-dimensional TQFTs for Abelian two-forms and connects them to twisted supersymmetric theories, extending the understanding of higher-dimensional topological models.

Findings

Connection between 6D TQFTs and twisted supersymmetry established

Brief analysis of interactions in the 6D models

Discussion of self-dual three-forms in 8D

Abstract

We describe a generalization of Yang--Mills topological field theory for Abelian two-forms in six dimensions. The connection of this theory by a twist to Poincar\'e supersymmetric theories is given. We also briefly consider interactions and the case of self-dual three-forms in eight dimensions.