Algebraic structures in exceptional geometry
Paper in proceedings, 2018

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∞ 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.

Geometry

Extended geometry

Exceptional geometry

Quantum theory

Algebra

Superalgebras

Author

Martin Cederwall

Chalmers, Physics, Theoretical Physics

Springer Proceedings in Mathematics and Statistics

2194-1009 (ISSN) 2194-1017 (eISSN)

Vol. 255 2018 31-41

International Symposium on Quantum Theory and Symmetries, QTS-X and XII 2017 and International Workshop on Lie Theory and Its Applications in Physics, LT-XII 2017
Varna, Bulgaria,

Subject Categories

Mathematics

Other Physics Topics

Roots

Basic sciences

DOI

10.1007/978-981-13-2179-5_3

ISBN

9789811321788

More information

Latest update

1/20/2021