Cohomological extension of Spin(7)-invariant super Yang-Mills theory in eight dimensions

TL;DR

This paper constructs a cohomological extension of the Spin(7)-invariant super Yang-Mills theory in eight dimensions, utilizing the eight-dimensional analogue of the Pontryagin invariant derived from a quartic chiral primary operator.

Contribution

It introduces a novel cohomological extension of the super Yang-Mills theory in eight dimensions based on a new topological invariant.

Findings

Established the existence of a cohomological extension in eight dimensions.

Linked the extension to the eight-dimensional Pontryagin invariant.

Provided a framework for further topological and supersymmetric studies.

Abstract

It is shown that the Spin(7)-invariant super Yang-Mills theory in euight dimensions, which relies on the existence of the Caley invariant, permits the construction of a cohomological extension, which relies on the existence of the eight-dimensional analogue of the Pontryagin invariant arising from a quartic chiral primary operator.