Generalized diffeomorphisms for $E_9$ - Archive ouverte HAL
Article Dans Une Revue Physical Review D Année : 2017

Generalized diffeomorphisms for $E_9$

Résumé

We construct generalized diffeomorphisms for E9 exceptional field theory. The transformations, which like in the E8 case contain constrained local transformations, close when acting on fields. This is the first example of a generalized 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 generalized 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.

Dates et versions

hal-01669746 , version 1 (21-12-2017)

Identifiants

Citer

Guillaume Bossard, Martin Cederwall, Axel Kleinschmidt, Jakob Palmkvist, Henning Samtleben. Generalized diffeomorphisms for $E_9$. Physical Review D, 2017, 96 (10), pp.106022. ⟨10.1103/PhysRevD.96.106022⟩. ⟨hal-01669746⟩
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