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arXiv · 2504.18826

Reframing classical mechanics: An AKSZ sigma model perspective

Thomas Basile·Nicolas Boulanger·Arghya Chattopadhyay
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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 $T^\ast(T[1]M\times \mathbb{R}[1])$.

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Thomas Basile, Nicolas Boulanger, Arghya Chattopadhyay. 2025-04-26. Reframing classical mechanics: An AKSZ sigma model perspective. https://arxiv.org/abs/2504.18826

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