N_T=4 equivariant extension of the 3D topological model of Blau and Thompson

TL;DR

This paper extends a 3D topological model to N_T=4, providing a new theoretical framework that relates to higher-dimensional theories and their dimensional reductions, enriching the understanding of topological quantum field theories.

Contribution

It introduces an N_T=4, D=3 topological model as an extension of the Blau-Thompson N_T=2 model and explores its relation to the Yamron-Vafa-Witten theory through dimensional reduction.

Findings

Constructed the N_T=4, D=3 topological model.

Related the model to Yamron-Vafa-Witten theory via dimensional reduction.

Explicitly derived the dimensional reduction of the half-twisted N_T=2, D=4 Yamron model.

Abstract

The Blau-Thompson N_T=2, D=3 nonequivariant topological model is extended to a N_T=4, D=3 topological theory. The latter, formally, may be regarded as a topological deformation of the N_T=2, D=4 Yamrom-Vafa-Witten theory after dimensional reduction to D=3. For completeness, also the dimensional reduction of the half-twisted N_T=2, D=4 Yamron model is explicitly constructed.