Electric–Magnetic duality in (linearized) Hořava–Lifshitz gravity

We present an implementation of a duality symmetry in the minimal linearized Horava-Lifshitz gravity. Some difficulties arise when an attempt is made to implement off shell duality symmetries in theories that are not invariant under full spacetime diffeonrorphisms. To avoid some of them our approach...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 512; pp. 12001 - 12
Main Authors Cortese, Ignacio, García, J Antonio
Format Journal Article
LanguageEnglish
Published 2014
Subjects
Gages
Gauges
Gravitation
Invariants
Mathematical models
Projection
Symmetry
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Summary:We present an implementation of a duality symmetry in the minimal linearized Horava-Lifshitz gravity. Some difficulties arise when an attempt is made to implement off shell duality symmetries in theories that are not invariant under full spacetime diffeonrorphisms. To avoid some of them our approach will consist of two steps: a) Proposing an explicit formulation of a covariant model and applying standard rules to relate a theory with its dual, and b) Implementing a projection of this covariant model to Horava-Lifshitz gravity using a gauge fixing condition. In this way we are able to present a dual action of the standard formulation of minimal linearized Horava-Lifshitz gravity.
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ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/512/1/012001