Symmetry Doubling: Doubly General Relativity - INSPIRE

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Symmetry Doubling: Doubly General Relativity

Jun, 2012

24 pages

e-Print:

1206.4823 [gr-qc]

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Abstract: (arXiv)

Using a BRST treatment, we show that the equivalence of General Relativity and Shape Dynamics can be extended to a theory that respects the BRST-symmetries of General Relativity as well as the ones of an extended version of Shape Dynamics. This version of Shape Dynamics implements local spatial Weyl transformations as well as a local and abstract analogue of special conformal transformations. Standard effective field theory arguments suggest that the definition of a gravity theory should implement this duality between General Relativity and Shape Dynamics, thus the name 'Doubly General Relativity.' We briefly discuss several consequences: bulk/bulk- duality in classical gravity, experimental falsification of Doubly General Relativity and possible implications for the renormalization of quantum gravity in the effective field theory framework.

Note:

24 pages

transformation: conformal
gravitation: classical
transformation: Weyl
general relativity
effective field theory
duality
Becchi-Rouet-Stora
renormalization
quantum gravity
doubling

References(14)

Figures(0)

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