Large D holography with metric deformations

Andrade, Tomas; Pantelidou, Christiana; Withers, Benjamin

Abstract

We consider Einstein gravity in AdS in the presence of a deformed conformal boundary metric, in the limit of large spacetime dimension. At leading order we find a new set of effective near-horizon equations. These can be understood as covariant generalisations of the undeformed equations with new source terms due to the curvature. We show that these equations are given by the conservation of the exact second-order Landau-frame hydrodynamic stress tensor. No derivative expansions are invoked in this identification. We use the new equations to study CFTs with 2d lattice deformations, computing their quasi-normal mode spectra and thermal conductivities, both numerically and analytically to quartic order in small lattice amplitude. Many of our results also apply to asymptotically flat spacetimes.

Citation

Andrade, T., Pantelidou, C., & Withers, B. (2018). Large D holography with metric deformations. Journal of High Energy Physics, 2018(9), Article 138. https://doi.org/10.1007/jhep09%282018%29138

• Journal Article Type: Article
• Acceptance Date: Sep 18, 2018
• Online Publication Date: Sep 25, 2018
• Publication Date: Sep 25, 2018
• Deposit Date: Oct 12, 2018
• Publicly Available Date: Oct 12, 2018
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 9
• Article Number: 138
• DOI: https://doi.org/10.1007/jhep09%282018%29138