Deformations of vector-scalar models

Understand

Abelian vector fields non-minimally coupled to uncharged scalar fields arise in many contexts.

• We investigate here through algebraic methods their consistent deformations ("gaugings"), i.e., the deformations that preserve the number (but not necessarily the form or the algebra) of the gauge symmetries.
• Infinitesimal consistent deformations are given by the BRST cohomology classes at ghost number zero.
• We parametrize explicitly these classes in terms of various types of global symmetries and corresponding Noether currents through the characteristic cohomology related to antifields and equations of motion.