Extended geometries
Journal article, 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

Author

Martin Cederwall

Chalmers, Physics, Theoretical Physics

Jakob Palmkvist

Chalmers, Physics, Theoretical Physics

Journal of High Energy Physics

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

Vol. 2018 2 71

Subject Categories

Algebra and Logic

Construction Management

Mathematical Analysis

DOI

10.1007/JHEP02(2018)071

More information

Latest update

3/29/2018