A Geometric Approach to Massive p-form Duality

Abstract

Massive theories of abelian p-forms are quantized in a generalized path-representation that leads to a description of the phase space in terms of a pair of dual non-local operators analogous to the Wilson Loop and the 't Hooft disorder operators. Special atention is devoted to the study of the duality between the Topologically Massive and the Self-Dual models in 2+1 dimensions. It is shown that these models share a geometric representation in which just one non local operator suffices to describe the observables.

26 pages, LaTeX. The discussion about the equivalence between the Proca model and two seldual models, with opposite spins, was eliminated. Typos corrected

References in corpus (4)

• A Geometric Representation for the Proca Model
• Topological Field Theories and Duality
• Maxwell Chern Simons Theory in a Geometric Representation
• Electric-Magnetic duality and the "Loop Representation" in Abelian Gauge Theories

Cited by in corpus (4)

• Interacting Particles and Strings in Path and Surface Representations
• Geometric Representation of the generator of duality in massless and massive $p-$form field theories
• A topological invariant in the context of the loop representation of the massive Kalb-Ramond-Klein-Gordon model
• Self-Dual Supersymmetric Dirac-Born-Infeld Action