Non-commutative gauge symmetry from strong homotopy algebras

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.

arXiv comment21 pages; published version

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Cited by in corpus (1)

• Poisson electrodynamics on $\kappa$-Minkowski space-time