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.

Författare

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-

Ämneskategorier

Matematik

Fysik

Geometri

Annan fysik

Fundament

Grundläggande vetenskaper