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Non-commutative gauge symmetry from strong homotopy algebras
Vladislav Kupriyanov, Fernando Oliveira, Alexey Sharapov, Dmitri Vassilevich
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Source: Crossref
Published: Feb 20, 2024
DOI: 10.1088/1751-8121/ad279f
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Abstract We explicitly construct an L ∞ algebra that defines U ⋆ ( 1 ) gauge transformations on a space with an arbitrary noncommutative and even nonassociative star product. Matter fields are naturally incorporated in this scheme as L ∞ modules. Some possibilities for including P ∞ algebras are also discussed.
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