Yang-Mills Theory and the N=2 Spinning Path Integral

2025/09/18 by Cremonini, Carlo Alberto, Sachs, Ivo
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2509.14792

Abstract

We embed the perturbative Fock state of the Yang-Mills BV-multiplet in the vertex operator algebra of the path-integral for the 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.

Citations

• Yang-Mills Theory From Super Moduli Space
• On Superparticles and their Partition Functions
• Off-Shell Strings I: S-matrix and Action
• Localization of effective actions in open superstring field theory:\n small Hilbert space
• Strings in Ramond-Ramond Backgrounds from the Neveu-Schwarz-Ramond Formalism
• Homotopy Classification of Bosonic String Field Theory
• Homotopy Classification of Bosonic String Field Theory

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