Generalised diffeomorphisms for E$_9$
High Energy Physics - Theory
2017-12-07 v2
Abstract
We construct generalised diffeomorphisms for E exceptional field theory. The transformations, which like in the E case contain constrained local transformations, close when acting on fields. This is the first example of a generalised diffeomorphism algebra based on an infinite-dimensional Lie algebra and an infinite-dimensional coordinate module. As a byproduct, we give a simple generic expression for the invariant tensors used in any extended geometry. We perform a generalised Scherk--Schwarz reduction and verify that our transformations reproduce the structure of gauged supergravity in two dimensions. The results are valid also for other affine algebras.
Cite
@article{arxiv.1708.08936,
title = {Generalised diffeomorphisms for E$_9$},
author = {Guillaume Bossard and Martin Cederwall and Axel Kleinschmidt and Jakob Palmkvist and Henning Samtleben},
journal= {arXiv preprint arXiv:1708.08936},
year = {2017}
}
Comments
38 pages, version to be published in PRD