Year: 2026
Type: article
Abstract: We embed the perturbative Fock state of the Yang-Mills BV-multiplet in the vertex operator algebra of the path-integral for the \mathcal{N}=2 đ© = 2 supersymmetric world line and evaluate the pull-back of the latter to an integral form on supermoduli space. Choosing a suitable PoincarĂ© dual on the latter, we show that this integral form describes an extension of Yang-Mills theory. Upon projection back to the Fock space, we recover the Yang-Mills action from the world line. This furthermore gives an a priori justification for the construction of Yang-Mills equations of motion as emerging from deformations of the BRST differential.
Source: SciPost Physics
Authors: Carlo Alberto Cremonini, Ivo Sachs
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: VetenskapsrÄdet
Award: Institut Mittag-Leffler
OpenAlex ID: W4417082080
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