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Non-commutative gauge symmetry from strong homotopy algebras
Published 27 Sep 2023 in hep-th, math-ph, math.MP, and math.QA | (2309.15323v2)
Abstract: 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.
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