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Higher derivative effects for 4d AdS gravity

Higher derivative effects for 4d AdS gravity
Higher derivative effects for 4d AdS gravity
Motivated by holography we explore higher derivative corrections to four-dimensional Anti-de Sitter (AdS) gravity. We point out that in such a theory the variational problem is generically not well-posed given only a boundary condition for the metric. However, when one evaluates the higher derivative terms perturbatively on a leading order Einstein solution, the equations of motion are always second order and therefore the variational problem indeed requires only a boundary condition for the metric. The equations of motion required to compute the spectrum around the corrected background are still generically higher order, with the additional boundary conditions being associated with new operators in the dual conformal field theory. We discuss which higher derivative curvature invariants are expected to arise in the four-dimensional action from a top-down perspective and compute the corrections to planar AdS black holes and to the spectrum around AdS in various cases. Requiring that the dual theory is unitary strongly constrains the higher derivative terms in the action, as the operators associated with the extra boundary conditions generically have complex conformal dimensions and non-positive norms.
black holes in string theory, ads-cft correspondence
1-46
Smolic, Jelena
3c70725a-a158-49c6-ab04-2177a7757f5a
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Smolic, Jelena
3c70725a-a158-49c6-ab04-2177a7757f5a
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22

Smolic, Jelena and Taylor, Marika (2013) Higher derivative effects for 4d AdS gravity. Journal of High Energy Physics, 2013 (96), 1-46. (doi:10.1007/JHEP06(2013)096).

Record type: Article

Abstract

Motivated by holography we explore higher derivative corrections to four-dimensional Anti-de Sitter (AdS) gravity. We point out that in such a theory the variational problem is generically not well-posed given only a boundary condition for the metric. However, when one evaluates the higher derivative terms perturbatively on a leading order Einstein solution, the equations of motion are always second order and therefore the variational problem indeed requires only a boundary condition for the metric. The equations of motion required to compute the spectrum around the corrected background are still generically higher order, with the additional boundary conditions being associated with new operators in the dual conformal field theory. We discuss which higher derivative curvature invariants are expected to arise in the four-dimensional action from a top-down perspective and compute the corrections to planar AdS black holes and to the spectrum around AdS in various cases. Requiring that the dual theory is unitary strongly constrains the higher derivative terms in the action, as the operators associated with the extra boundary conditions generically have complex conformal dimensions and non-positive norms.

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Accepted/In Press date: 10 June 2013
Published date: 25 June 2013
Keywords: black holes in string theory, ads-cft correspondence
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 385151
URI: http://eprints.soton.ac.uk/id/eprint/385151
PURE UUID: b2f1c1ed-8ec5-4ac4-8a34-edb0204315d4
ORCID for Marika Taylor: ORCID iD orcid.org/0000-0001-9956-601X

Catalogue record

Date deposited: 15 Jan 2016 16:45
Last modified: 21 Nov 2021 03:06

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Contributors

Author: Jelena Smolic
Author: Marika Taylor ORCID iD

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