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 N-T = 2, D = 3 Blau-Thomp son 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 theor y. In that theory the generators of the topological shift, co-shift and gau ge symmetry, (Q(a), *Q(a), G), together with a discrete duality operation a re completely analogous to the de Rham cohomology operators (d, delta, Delt a) and the Hodge *-operation. (C) 2001 Published by Elsevier Science B.V.