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

Abstract

It is shown that the dimensional reduction of the N_T=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, together with a discrete duality operation, are completely analogous to the de Rham cohomology operators and the Hodge *-operation.

8 pages, Latex

References in corpus (2)

• New topological field theories in two dimensions
• N_T=4 equivariant extension of the 3D topological model of Blau and Thompson

Cited by in corpus (5)

• Twisted Supersymmetric Gauge Theories and Orbifold Lattices
• N_T=4 equivariant extension of the 3D topological model of Blau and Thompson
• Higher dimensional analogue of the Blau-Thompson model and N_T=8, D=2 Hodge-type cohomological gauge theories
• Topological gauge theories with antisymmetric tensor matter fields
• The basic cohomology of the twisted N=16, D=2 super Maxwell theory