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Algebraic Structures in Extended Geometry

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Abstract

Extended geometry is a unifying framework including exceptional field theory (XFT) and double field theory (DFT). It gives a geometric underpinning of the duality symmetries of M-theory. In this talk I give an overview of the surprisingly rich algebraic structures which naturally appear in the context of extended geometry. This includes Borcherds superalgebras, Cartan type superalgebras (tensor hierarchy algebras) and L∞ algebras. This is the written version of a talk based mainly on [1–6], presented at SQS 2017, Dubna, Aug. 2017.

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  1. Fundamental Physics, Chalmers University of Technology, Göteborg, Sweden

    Martin Cederwall

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Cederwall, M. Algebraic Structures in Extended Geometry. Phys. Part. Nuclei 49, 873–878 (2018). https://doi.org/10.1134/S1063779618050155

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