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Generalised diffeomorphisms for E9

Guillaume Bossard ; Martin Cederwall (Institutionen för fysik, Teoretisk fysik (Chalmers)) ; Axel Kleinschmidt ; Jakob Palmkvist (Institutionen för fysik, Teoretisk fysik (Chalmers)) ; Henning Samtleben
Physical Review D (1550-7998). Vol. 96 (2017), p. 106022.
[Artikel, refereegranskad vetenskaplig]

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.

Denna post skapades 2017-08-31. Senast ändrad 2017-12-02.
CPL Pubid: 251544


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Institutioner (Chalmers)

Institutionen för fysik, Teoretisk fysik (Chalmers)


Algebra och geometri
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