Generalised diffeomorphisms for E9
Artikel i vetenskaplig tidskrift, 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

Université Paris-Saclay

Martin Cederwall

Chalmers, Fysik, Teoretisk fysik

Axel Kleinschmidt

International Solvay Institute for Physics and Chemistry

Max Planck-institutet

Jakob Palmkvist

Chalmers, Fysik, Teoretisk fysik

Henning Samtleben

Ecole Normale Superieure de Lyon

Physical Review D - Particles, Fields, Gravitation and Cosmology

1550-7998 (ISSN)

Vol. 96 106022-





Annan fysik


Grundläggande vetenskaper

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