Algebraic structures in exceptional geometry
High Energy Physics - Theory
2018-11-14 v1
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 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.
Cite
@article{arxiv.1712.06995,
title = {Algebraic structures in exceptional geometry},
author = {Martin Cederwall},
journal= {arXiv preprint arXiv:1712.06995},
year = {2018}
}
Comments
12 pp., contribution to conference proceedings