Generalised diffeomorphisms for E9
Journal article, 2017

We construct generalised diffeomorphisms for E9 exceptional field theory. The trans- formations, which like in the E8 case contain constrained local transformations, close when acting on fields. This is the first example of a generalised diffeomorphism alge- bra based on an infinite-dimensional Lie algebra and an infinite-dimensional coordi- nate 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.


Guillaume Bossard

University Paris-Saclay

Martin Cederwall

Chalmers, Physics, Theoretical Physics

Axel Kleinschmidt

International Solvay Institute for Physics and Chemistry

Max Planck Society

Jakob Palmkvist

Chalmers, Physics, Theoretical Physics

Henning Samtleben

École Normale Supérieure de Lyon

Physical Review D - Particles, Fields, Gravitation and Cosmology

1550-7998 (ISSN)

Vol. 96 106022-

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