New Topological Aspects of $BF$ Theories

Abstract

$BF$ theories defined over non trivial line bundles are studied. It is shown that such theories describe a realization of a non trivial higher order bundle. The partition function differs from the usual one -in terms of the Ray Singer Torsion- by a factor that arises from the non triviality of the line bundles.

10 pages, latex, no figures

References in corpus (2)

• Duality on Higher Order U(1) Bundles
• On the Geometry on Antisymmetric Fields

Cited by in corpus (5)

• Topological Field Theory and Quantum Holonomy Representations of Motion Groups
• Perturbative BF theory
• Effective Lagrangian for Non-Abelian Two-Dimensional Topological Field Theory
• Duality in massive spin 2 theories in 2+1 dimensions (In spanish)
• Non Abelian TQFT and scattering of self dual field configuration