Multisymplectic observable reduction using constraint triples
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908454866649088 |
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| author | Miti, Antonio Michele Ryvkin, Leonid |
| author_facet | Miti, Antonio Michele Ryvkin, Leonid |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00234 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multisymplectic observable reduction using constraint triples Miti, Antonio Michele Ryvkin, Leonid Symplectic Geometry Differential Geometry Rings and Algebras 53D20 (primary) 53D05, 16W50 (secondary) 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). |
| title | Multisymplectic observable reduction using constraint triples |
| topic | Symplectic Geometry Differential Geometry Rings and Algebras 53D20 (primary) 53D05, 16W50 (secondary) |
| url | https://arxiv.org/abs/2506.00234 |