XXXVIII Strings@ar meeting 1

Wormholes in Horava Gravity

Nicolás E. Grandi

XXXVIII Strings@ar meeting

Wormholes in Horava gravity

Nicolás E. GrandiMarcelo A. N. Botta CantcheffMauricio Sturla

arXiv: 0906.0852 [hep-th]

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Pseudo-Riemannian

structureQuantizationManifoldDynamics

Einstein Gravity

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Einstein Gravity

QuantizationNon-

renormalizable by power counting

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Higher Derivative Gravity

Non-renormalizable

by power counting

DynamicsDynamics

Higher derivatives

QuantizationHigher

derivatives

Non-renormalizable

by power counting?

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QuantizationHigher

derivatives

Non-renormalizable

by power counting?

Higher Derivative Gravity

Propagation

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QuantizationHigher

derivatives

Higher Derivative Gravity

Renormalizable by power counting!

Propagation

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Higher Derivative Gravity

PropagationGhosts!

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Pseudo-Riemannian

structureDynamics

Einstein Gravity

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Einstein Gravity

Dynamics

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Pseudo-Riemannian

structureManifoldFoliatedManifoldHorava

Dynamics

Horava Gravity

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HoravaDynamics

Horava Gravity

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QuantizationNon-

renormalizable by power counting?

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Horava Gravity

Non-renormalizable

by power counting?

PropagationQuantization

Horava

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No ghosts!

Horava Gravity

QuantizationHorava

Renormalizable by power counting!

Propagation

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Horava Gravity

PropagationDynamicsDetailed Balance

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Detailed Balance

Horava Gravity

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Horava Gravity

- Power counting renormalizable (field) theory of gravity

- No ghost

- Recovers relativistic invariance at low energies as an accidental symmetry

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Horava Gravity

- One less gauge invariance -> one extra mode– - Non propagating in flat space

– - Strogly coupled to matter and exponencially unstable in generic backgrounds

- Possible solutions- Extra gauge invariances? (Anisotropic Weil

invariance for l=1/3)- Covariantize the theory

- Is l really equal to 1 ?

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Thanks!