Higher dimensional analogue of the Blau-Thompson model and N_T=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 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.

20 pages, Latex, final version as appearing in Nucl. Phys. B

References in corpus (3)

• N_T=4 equivariant extension of the 3D topological model of Blau and Thompson
• Twisted N=8, D=2 super Yang-Mills theory as example of a Hodge-type cohomological theory
• N_T=8, D=2 Hodge-type cohomological gauge theory with global SU(4) symmetry

Cited by in corpus (6)

• Topological twists of supersymmetric algebras of observables
• Symmetries and observables in topological gravity
• 4d Chern-Simons Theory as a 3d Toda Theory, and a 3d-2d Correspondence
• A Euclidean Lattice Formulation of D=5 Maximally Supersymmetric Yang-Mills Theory
• N_T=8, D=2 Hodge-type cohomological gauge theory with global SU(4) symmetry
• The basic cohomology of the twisted N=16, D=2 super Maxwell theory