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Extended geometries
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DOI：10.1007/JHEP02(2018)071.png)
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Abstract
En 中文
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.
Keywords:
Differential and Algebraic Geometry
Space-Time Symmetries
String Duality
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