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arXiv · 1507.08828

Exceptional geometry and Borcherds superalgebras

Jakob Palmkvist
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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.

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Jakob Palmkvist. 2016-06-20. Exceptional geometry and Borcherds superalgebras. https://doi.org/10.1007/jhep11(2015)032

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