Supersymmetric Topological Quantum Field Theories Of Differential Forms I. Gauge p-forms

TL;DR

This paper explores topological quantum field theories for gauge differential p-forms, demonstrating the emergence of topological invariants like linking numbers and discussing non-abelian extensions.

Contribution

It introduces a Witten-type topological theory for gauge p-forms and analyzes its quantization, revealing new topological invariants and generalizing to non-abelian cases.

Findings

Linking numbers appear as topological invariants upon quantization

The theory extends to non-abelian gauge p-forms

Topological invariants are derived from gauge differential forms

Abstract

We consider the topological theory of Witten type for gauge differential p-forms. It is shown that some topological invariants such as linking numbers appear under quantization of this theory. The non-abelian generalization of the model is discussed.