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.
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Carosi, M., Sachs, I. Proca theory from the spinning worldline. J. High Energ. Phys. 2022, 135 (2022). https://doi.org/10.1007/JHEP01(2022)135
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DOI: https://doi.org/10.1007/JHEP01(2022)135