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 NT ≥ 1 topological supersymmetry are proposed. The construction of the 4-dimensional, NT = 1 Donaldson-Witten theory, the NT = 1 super-BF model and the NT = 2 topological B-model with tensor matter are explicitly worked out.

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