Vector-Tensor Duality

Abstract

A dynamical non-abelian two-form potential gives masses to vector bosons via a topological coupling. Unlike in the abelian case, the two-form cannot be dualized to Goldstone bosons. Duality is restored by coupling a flat connection to the theory in a particular way, and the new action is then dualized to a non-linear sigma model. The presence of the flat connection is crucial, which saves the original mechanism of Higgs-free topological mass generation from being dualized to a sigma model.

9 pages, revtex, no figures, significant change in contents due to addition of explanations for several statements

References in corpus (3)

• Nonabelian Topological Mass Generation in 4 Dimensions
• An Alternative Scenario for Non-Abelian Quantum Hair
• Gauge Vector Masses from Flat Connections?

Cited by in corpus (4)

• A field-theoretic model for Hodge theory
• Hodge decomposition theorem for Abelian two form gauge theory
• Abelian 2-form gauge theory: special features
• Free Abelian 2-Form Gauge Theory: BRST Approach