Generalised diffeomorphisms for E${}_9$

Abstract

We construct generalised diffeomorphisms for E${}_9$ exceptional field theory. The transformations, which like in the E${}_8$ case contain constrained local transformations, close when acting on fields. This is the first example of a generalised 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 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.

38 pages, version to be published in PRD

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Cited by in corpus (25)

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• A master exceptional field theory
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• Leibniz-Chern-Simons Theory and Phases of Exceptional Field Theory
• Tensor hierarchy algebras and extended geometry II: Gauge structure and dynamics
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• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• Cancellation of divergences up to three loops in exceptional field theory
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