Non-commutative gauge symmetry from strong homotopy algebras

Autor:	Kupriyanov, Vladislav, Oliveira, Fernando, Sharapov, Alexey, Vassilevich, Dmitri
Rok vydání:	2023
Předmět:	High Energy Physics - Theory Mathematical Physics Mathematics - Quantum Algebra
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/ad279f
Popis:	We explicitly construct an L$_\infty$ algebra that defines U$_{\star}(1)$ gauge transformations on a space with an arbitrary non-commutative and even non-associative star product. Matter fields are naturally incorporated in this scheme as L$_\infty$ modules. Some possibilities for including P$_\infty$ algebras are also discussed. Comment: 21 pages; published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.15323 Zobrazit plný text záznamu View this record from Arxiv