Antisymmetric tensor gauge theory

August , 1997 Non - Abelian Gravity and Antisymmetric Tensor Gauge Theory

A non-abelian generalisation of a theory of gravity coupled to a 2-form gauge field and a dilaton is found, in which the metric and 3-form field strength are Lie algebra-valued. In the abelian limit, the curvature with torsion is self-dual in four dimensions, or has SU(n) holonomy in 2n dimensions. The coupling to self-dual Yang-Mills fields in 4 dimensions, or their higher dimensional generali...

Non - Abelian Gravity and Antisymmetric Tensor Gauge Theory

A non-abelian generalisation of a theory of gravity coupled to a 2-form gauge field and a dilaton is found, in which the metric and 3-form field strength are Lie algebra-valued. In the abelian limit, the curvature with torsion is self-dual in four dimensions, or has SU(n) holonomy in 2n dimensions. The coupling to self-dual Yang-Mills fields in 4 dimensions, or their higher dimensional generali...

Antisymmetric Tensor Gauge Fields on S4

Topological gauge theories with antisymmetric tensor matter fields

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.

Duality and Confinement in Massive Antisymmetric Tensor Gauge Theories

We extend the duality between massive and topologically massive antisymmetric tensor gauge theories in arbitrary space-time dimensions to include topological defects. We show explicitly that the condensation of these defects leads, in 4 dimensions, to confinement of electric strings in the two dual models. The dual phase, in which magnetic strings are confined is absent. The presence of the con...