A Suggestion for Modification of Vafa-Witten Theory
Pei Wang
TL;DR
This paper revisits the Vafa-Witten theory using the Mathai-Quillen formalism to clarify the connection between the supersymmetric action and the Thom class in the path integral.
Contribution
It provides a refined mathematical framework linking the supersymmetric model to topological invariants via the Mathai-Quillen formalism.
Findings
Clarified the relation between supersymmetric action and Thom class
Reformulated Vafa-Witten theory using Mathai-Quillen formalism
Enhanced understanding of topological aspects of the model
Abstract
Using the Mathai-Quillen formalism we reexamine the twisted N=4 supersymmetric model of Vafa-Witten theory. Smooth out the relation between the supersymmetric action and the path integral representation of the Thom class.
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