Extended geometries
Artikel i vetenskaplig tidskrift, 2018

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 (the internal sector of) all previously considered cases of double and exceptional field theories.

Differential and Algebraic Geometry

String Duality

Space-Time Symmetries


Martin Cederwall

Chalmers, Fysik, Teoretisk fysik

Jakob Palmkvist

Chalmers, Fysik, Teoretisk fysik

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Vol. 2018 2 71


Algebra och logik


Matematisk analys