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Extended geometries

Martin Cederwall (Institutionen för fysik, Teoretisk fysik (Chalmers)) ; Jakob Palmkvist (Institutionen för fysik, Teoretisk fysik (Chalmers))
(2017)
[Preprint]

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.



Denna post skapades 2017-11-22.
CPL Pubid: 253307

 

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