Higher dimensional analogue of the Blau-Thompson model and N_T=8, D=2 Hodge-type cohomological gauge theories

TL;DR

This paper constructs higher-dimensional analogues of the Blau-Thompson model through topological twists of super Yang-Mills theories, revealing new Hodge-type cohomological theories with enhanced symmetries in lower dimensions.

Contribution

It introduces a novel higher-dimensional Blau-Thompson analogue via topological twisting of N=2, D=5 super Yang-Mills and explores its dimensional reductions, uncovering a new N_T=8 Hodge-type cohomological theory with larger symmetry.

Findings

Constructed a D=5 Blau-Thompson analogue from N=2, D=5 super Yang-Mills.

Derived lower-dimensional models with extended topological and equivariant structures.

Identified a D=2 N_T=8 Hodge-type cohomological theory with SU(4) symmetry.

Abstract

The higher dimensional analogue of the Blau-Thompson model in D=5 is constructed by a N_T=1 topological twist of N=2, D=5 super Yang-Mills theory. Its dimenional reduction to D=4 and D=3 gives rise to the B-model and N_T=4 equivariant extension of the Blau-Thompson model, respectively. A further dimensional reduction to D=2 provides another example of a N_T=8 Hodge-type cohomological theory with global symmetry group SU(2) \otimes \bar SU(2). Moreover, it is shown that this theory possesses actually a larger global symmetry group SU(4) and and that it agrees with the N_T=8 topological twisting of N+16, D=2 super Yang-Mills theory.