Extended geometries
Preprint, 2017

We present a unified and completely general formulation of extended geometry, characterised by a Kac-Moody algebra and a highest weight coordinate module. Generalised diffeomorphisms are constructed, as well as solutions to the section constraint. Generically, additional ("ancillary") gauge transformations are present, and we give a concrete criterion determining when they appear. A universal form of the (pseudo-)action determines the dynamics in all cases without ancillary transformations, and also for a restricted set of cases based on the adjoint representation of a finite-dimensional simple Lie group. Our construction reproduces all previously considered cases of double and exceptional field theories.


Martin Cederwall

Chalmers, Fysik, Teoretisk fysik

Jakob Palmkvist

Chalmers, Fysik, Teoretisk fysik


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