Double-trace deformations, holography and the c-conjecture

Abstract

A double-trace deformation is the simplest perturbation of a conformal field theory that has a gravity dual. In this paper we review the existing results for the case in which the deformation is composed from a scalar operator, and extend them to the case of a spinor operator. In particular we check the validity of the c-conjecture along the RG flow induced by the deformation, using both Cardy's c-function and the recent proposal by Myers and Sinha of a c-function from entanglement entropy.

References in corpus (3)

• Seeing a c-theorem with holography
• Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
• Multitrace deformations, Gamow states, and Stability of AdS/CFT

Cited by in corpus (1)

• Holographic c-theorems in arbitrary dimensions