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- W4377865172 abstract "We construct non-commutative theories with the Moyal-Weyl product in the Double Field Theory (DFT) framework. We start by deforming the infinitesimal diffeomorphisms in General Relativity, using an extra commutative and associative product while deforming the Leibniz rule in a consistent way. We then apply the same strategy to study the notion of non-commutativity in the DFT context introducing the star product in the double geometry, defining deformed infinitesimal transformations and finally constructing the generalized action. The prescription requires a generalized star metric which can be thought of as the fundamental (generalized) metric in the non-commutative case. We study both Riemannian and non-Riemannian parametrizations." @default.
- W4377865172 created "2023-05-24" @default.
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- W4377865172 date "2023-05-22" @default.
- W4377865172 modified "2023-09-23" @default.
- W4377865172 title "Non-commutative double geometry" @default.
- W4377865172 doi "https://doi.org/10.48550/arxiv.2305.13131" @default.
- W4377865172 hasPublicationYear "2023" @default.
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