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Extended geometries

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arxiv 1711.07694 v3 pith:EJHVZPV7 submitted 2017-11-21 hep-th

Martin Cederwall , Jakob Palmkvist This is my paper · ORCID
classification hep-th
keywords casesancillaryextendedtransformationsactionadditionaladjointalgebra
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Duality-covariant particles and exotic branes

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Proposes enlarged worldline models with coadjoint orbit terms and generalized worldvolume theories for exotic branes that make E8 duality covariance manifest in a Hamiltonian formulation.

  2. Tensor hierarchy algebras and extended geometry II: Gauge structure and dynamics

    hep-th 2019-08 conditional novelty 6.0 of 10

    The gauge structure and pseudo-action of extended geometry with ancillary transformations are encoded by a tensor hierarchy algebra S(g+), yielding a partial L-infinity description for finite-dimensional structure groups.

  3. Tensor hierarchy algebras and extended geometry I: Construction of the algebra

    hep-th 2019-08 conditional novelty 6.0 of 10

    This paper constructs tensor hierarchy algebras W(g+) and S(g+) for Kac-Moody extensions of finite-dimensional simply laced Lie algebras and gives their local module content, with a companion representation identity t...

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