Universe (Jun 2025)

Reframing Classical Mechanics: An AKSZ Sigma Model Perspective

  • Thomas Basile,
  • Nicolas Boulanger,
  • Arghya Chattopadhyay

DOI
https://doi.org/10.3390/universe11060196
Journal volume & issue
Vol. 11, no. 6
p. 196

Abstract

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The path-integral re-formulation due to E. Gozzi, M. Regini, M. Reuter, and W. D. Thacker of Koopman and von Neumann’s original operator formulation of a classical Hamiltonian system on a symplectic manifold M is identified as a gauge slice of a one-dimensional Alexandrov–Kontsevich–Schwarz–Zaboronsky sigma model with target T*(T[1]M×R[1]).

Keywords