A note on the third way consistent deformation of Yang-Mills theory

Abstract

Three-dimensional Yang-Mills theory allows for a deformation quadratic in the field strengths which can not be integrated to a local action without auxiliary fields. Yet, its covariant divergence consistently vanishes after iterating the equation, realizing a spin-1 analogue of `minimal massive gravity', which has been dubbed `third way consistent'. In this note, we show that after dualization of the three-dimensional gauge fields, the model possesses a natural action as a Chern-Simons coupled gauged sigma model. In this dual formulation, coupling to matter and to gravity becomes straightforward. As a direct application, we derive the coupling of the model to N=1 supergravity.

8 pages

References in corpus (4)

• Minimal Massive 3D Gravity
• Yang-Mills as massive Chern-Simons theory: a third way to three-dimensional gauge theories
• The Third Way to Interacting $p$-form Theories
• The Third way to 3D Supersymmetric Massive Yang-Mills Theory

Cited by in corpus (1)

• Minimal Massive Supergravity