Twisted N=8, D=2 super-Yang–Mills theory as example of a Hodge-type cohomological theory

It is shown that the dimensional reduction of the NT=2, D=3 Blau–Thompson model to D=2, i.e., the novel topological twist of N=8, D=2 super-Yang–Mills theory, provides an example of a Hodge-type cohomological theory. In that theory the generators of the topological shift, co-shift and gauge symmetry, (Qa, ★Qa, G), together with a discrete duality operation are completely analogous to the de Rham cohomology operators (d,δ,Δ) and the Hodge ★-operation.