Proca Theory from the Spinning Worldline

Abstract

We obtain Proca field theory from the quantisation of the $\mathcal{N}=2$ supersymmetric worldline upon supplementing the graded BRST-algebra with an extra multiplet of oscillators. The linearised theory describes the BV-extended spectrum of Proca theory, together with a Stückelberg field. When coupling the theory to background fields we derive the Proca equations, arising as consistency conditions in the BRST procedure. We also explore non-abelian modifications, complexified vector fields as well as coupling to a dilaton field. We propose a cubic action on the space of BRST-operators which reproduces the known Proca action.

12 pages

References in corpus (2)

• A Worldline Theory for Supergravity
• A toy model for background independent string field theory

Cited by in corpus (1)

• Spin fields for the spinning particle