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arXiv · 1712.06995

Algebraic structures in exceptional geometry

Martin Cederwall
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Abstract

Exceptional field theory (EFT) gives a geometric underpinning of the U-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 EFT. This includes Borcherds superalgebras, Cartan type superalgebras (tensor hierarchy algebras) and $L_\infty$ algebras. This is the written version of a talk based mainly on refs. [1-6], presented at ISQS25, Prague, June 2017, at QTS-10/LT-12, Varna, June 2017, at SQS 2017, Dubna, Aug. 2017, and at the 9th Mathematical Physics Meeting, Belgrade, Sept. 2017.

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Martin Cederwall. 2017-12-19. Algebraic structures in exceptional geometry. https://doi.org/10.1134/s1063779618050155

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