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

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 dimensional reduction to D=4 and D=3 gives rise to the B-model and the 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)⊗ SU(2) . Moreover, it is shown that this theory possesses actually a larger global symmetry group SU(4) and that it agrees with the N T =8 topological twisting of N=16, D=2 super-Yang–Mills theory.