Reframing classical mechanics: An AKSZ sigma model perspective

2025/04/26 by Thomas Basile, Basile, Thomas, Nicolas Boulanger +3 · 1 citation
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Algebraic and Geometric Analysis

paper · pdf · doi:10.48550/arxiv.2504.18826

Abstract

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]).

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