Aug 3 – 14, 2015
CERN
Europe/Zurich timezone

Exceptional geometry and Borcherds superalgebras

Aug 6, 2015, 3:30 PM
30m
4-3-006 - TH Conference Room (CERN)

4-3-006 - TH Conference Room

CERN

Speaker

Jakob Palmkvist (Texas A&M University)

Description

I will consider generalized diffeomorphisms in exceptional geometry from an algebraic point of view. By extending the U-duality algebra E_n to an infinite-dimensional Lie superalgebra of Borcherds type, the generalized Lie derivatives can be expressed in a simple way, and the expression takes the same form for any n<8. The closure of the transformations then follows from the Jacobi identity and other fundamental properties of this Borcherds superalgebra.

Presentation materials