Algebraic Structures in Extended Geometry
Journal article, 2018

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-infinity algebras. This is the written version of a talk based mainly on [1-6], presented at SQS 2017, Dubna, Aug. 2017.

Author

Martin Cederwall

Chalmers, Physics, Theoretical Physics

Physics of Particles and Nuclei

1063-7796 (ISSN)

Vol. 49 5 873-878

Subject Categories

Algebra and Logic

Philosophy

Geometry

DOI

10.1134/S1063779618050155

More information

Latest update

3/18/2019