Yang-Mills theory and the $\mathcal{N}=2$ spinning path integral, by Carlo Alberto Cremonini, Ivo Sachs

SciPost Physics Home Authoring Refereeing Submit a manuscript About Yang-Mills theory and the $\mathcal{N}=2$ spinning path integral Carlo Alberto Cremonini, Ivo Sachs SciPost Phys. 20, 099 (2026) · published 7 April 2026 doi: 10.21468/SciPostPhys.20.4.099 pdf BiBTeX RIS Submissions/Reports Abstract We embed the perturbative Fock state of the Yang-Mills BV-multiplet in the vertex operator algebra of the path-integral for the $\mathcal{N}=2$ supersymmetric world line and evaluate the pull-back of the latter to an integral form on supermoduli space. Choosing a suitable Poincaré 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. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhys.20.4.099TI - Yang-Mills theory and the $\mathcal{N}=2$ spinning path integralPY - 2026/04/07UR - https://scipost.org/SciPostPhys.20.4.099JF - SciPost PhysicsJA - SciPost Phys.VL - 20IS - 4SP - 099A1 - Cremonini, Carlo AlbertoAU - Sachs, IvoAB - We embed the perturbative Fock state of the Yang-Mills BV-multiplet in the vertex operator algebra of the path-integral for the $\mathcal{N}=2$ supersymmetric world line and evaluate the pull-back of the latter to an integral form on supermoduli space. Choosing a suitable Poincaré 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.ER - × @Article{10.21468/SciPostPhys.20.4.099, title={{Yang-Mills theory and the $\mathcal{N}=2$ spinning path integral}}, author={Carlo Alberto Cremonini and Ivo Sachs}, journal={SciPost Phys.}, volume={20}, pages={099}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhys.20.4.099}, url={https://scipost.org/10.21468/SciPostPhys.20.4.099},} Ontology / Topics See full Ontology or Topics database. Gauge theory Supersymmetry Yang Mills Theory Authors / Affiliation: mappings to Contributors and Organizations See all Organizations. 1 Carlo Alberto Cremonini, 1 Ivo Sachs 1 Arnold Sommerfeld Center / Arnold Sommerfeld Center for Theoretical Physics [ACS] Funders for the research work leading to this publication Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG] Vetenskapsrådet / Swedish Research Council