# Dual Gravitons in AdS4-CFT3 and the Holographic Cotton Tensor - High Energy Physics - Theory

Dual Gravitons in AdS4-CFT3 and the Holographic Cotton Tensor - High Energy Physics - Theory - Download this document for free, or read online. Document in PDF available to download.

Abstract: We argue that gravity theories in AdS4 are holographically dual to either oftwo three-dimensional CFT-s: the usual Dirichlet CFT1 where the fixed gravitonacts as a source for the stress-energy tensor, and a dual CFT2 with a fixeddual graviton which acts as a source for a dual stress-energy tensor. The dualstress-energy tensor is shown to be the Cotton tensor of the Dirichlet CFT. Thetwo CFT-s are related by a Legendre transformation generated by a gravitationalChern-Simons coupling. This duality is a gravitational version ofelectric-magnetic duality valid at any radius r, where the renormalizedstress-energy tensor is the electric field and the Cotton tensor is themagnetic field. Generic Robin boundary conditions lead to CFT-s coupled toCotton gravity or topologically massive gravity. Interaction terms with CFT1lead to a non-zero vev of the stress-energy tensor in CFT2 coupled to gravityeven after the source is removed. We point out that the dual graviton alsoexists beyond the linearized approximation, and spell out some of the detailsof the non-linear construction.

Author: ** Sebastian de Haro**

Source: https://arxiv.org/