Exceptional geometry and Borcherds superalgebras
High Energy Physics - Theory
2016-06-22 v4
Abstract
We study generalized diffeomorphisms in exceptional geometry with U-duality group E_{n(n)} from an algebraic point of view. By extending the Lie algebra e_n to an infinite-dimensional Borcherds superalgebra, involving also the extension to e_{n+1}, the generalized Lie derivatives can be expressed in a simple way, and the expressions take the same form for any n less than 8. The closure of the transformations then follows from the Jacobi identity and the grading of e_{n+1} with respect to e_n.
Cite
@article{arxiv.1507.08828,
title = {Exceptional geometry and Borcherds superalgebras},
author = {Jakob Palmkvist},
journal= {arXiv preprint arXiv:1507.08828},
year = {2016}
}
Comments
19 pages. v2: Changes in the part of section 3.3 about generalized Jordan triple systems. v3: Typos corrected. Published version. v4: Infinitesimal changes