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arXiv · 2506.00234

Multisymplectic observable reduction using constraint triples

Antonio Michele Miti·Leonid Ryvkin
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Abstract

The purpose of this paper is to present a fully algebraic formalism for the construction and reduction of $L_\infty$-algebras of observables inspired by multisymplectic geometry, using Gerstenhaber algebras, BV-modules, and the constraint triple formalism. In the "geometric case", we reconstruct and conceptually explain the recent results of arXiv:2206.03137(3).

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Antonio Michele Miti, Leonid Ryvkin. 2025-05-30. Multisymplectic observable reduction using constraint triples. https://doi.org/10.1016/j.difgeo.2025.102272

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