Multisymplectic observable reduction using constraint triples

Antonio Michele Miti; Leonid Ryvkin

doi:10.1016/j.difgeo.2025.102272

paper

Multisymplectic observable reduction using constraint triples

arXiv:2506.00234 · doi:10.1016/j.difgeo.2025.102272

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).

29 pages