Non-commutative gauge symmetry from strong homotopy algebras

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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.
Funding Information
  • Fundação de Amparo à Pesquisa do Estado de São Paulo (2021/09313-8)
  • Ciência sem Fronteiras (304130/2021-4)

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