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.
Superalgebras
Quantum theory
Extended geometry
Geometry
Exceptional geometry
Algebra
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,
Varna, Bulgaria,
Subject Categories
Mathematics
Other Physics Topics
Roots
Basic sciences
DOI
10.1007/978-981-13-2179-5_3