Electric_Magnetic duality in (linearized) Ho?ava_Lifshitz gravity

8th International Symposium on Quantum Theory and Symmetries

Cortese, Ignacio^1 ; García, J Antonio^2

Physique Théorique et Mathématique and International Solvay Institutes, Université Libre de Bruxelles, Campus Plaine C.P. 231, B-1050 Bruxelles, Belgium^1

Departamento de Física de Altas Energias, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, México D.F. 04510, Mexico^2

关键词: Covariant;    Diffeomorphisms;    Dual action;    Electric magnetic;    Explicit formulation;    Gauge fixing;    Spacetime;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/512/1/012001/pdf
DOI  :  10.1088/1742-6596/512/1/012001

来源: IOP

【 摘 要 】

We present an implementation of a duality symmetry in the minimal linearized Hoava-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 diffeomorphisms. 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.