Topological gauge theories with antisymmetric tensor matter fields

Abstract

A new type of topological matter interactions involving second-rank antisymmetric tensor matter fields with an underlying $N_T\ge 1$ topological supersymmetry are proposed. The construction of the 4-dimensional, $N_T=1$ Donaldson-Witten theory, the $N_T=1$ super-BF model and the $N_T=2$ topological B-model with tensor matter are explicitly worked out.

Latex, 17 pages; refinement of an argument, addition of a footnote

References in corpus (3)

• Conformal topological Yang-Mills theory and de Sitter holography
• Twisted N=8, D=2 super Yang-Mills theory as example of a Hodge-type cohomological theory
• Algebraic renormalization of twisted N=2 supersymmetry with Z=2 central extension

Cited by in corpus (4)

• Topological mass generation to antisymmetric tensor matter field
• Dual mapping between the antisymmetric tensor matter field and the Kalb-Ramond field
• Generating mass and topological terms to the antisymmetric tensor matter field by Higgs mechanism
• Anti-symmetric rank-2 Matter Field on Superspace for N_{T}=2