Yang-Mills Theory From Super Moduli Space

TL;DR

This paper constructs a geometric and algebraic framework for the superparticle's path integral on super moduli space, revealing a space-time action equivalent to Yang-Mills theory with additional boundary and non-local terms.

Contribution

It introduces a novel geometric decomposition of super moduli space and algebraic realization of the cyclic complex, connecting superparticle quantization to Yang-Mills theory.

Findings

Space-time action matches Yang-Mills theory up to boundary terms.

Provides a geometric decomposition of super moduli space.

Realizes the cyclic complex algebraically in this context.

Abstract

For the spinning superparticle we construct the pull-back of the world-line path integral to super moduli space in the Hamiltonian formulation. We describe the underlying geometric decomposition of super moduli space. Algebraically, this gives a realization of the cyclic complex. The resulting space-time action is classically equivalent to Yang-Mills theory up to boundary terms and additional non-local interactions.