Double-trace deformations, holography and the c-conjecture

TL;DR

This paper reviews how double-trace deformations affect holographic conformal field theories, extending previous results to spinor operators and examining the c-theorem's validity along the RG flow using multiple c-function proposals.

Contribution

It extends the analysis of double-trace deformations in holography to include spinor operators and tests the c-conjecture using entanglement entropy methods.

Findings

c-theorem holds along the RG flow with scalar and spinor deformations

Validates c-function proposals in holographic RG flows

Supports the universality of the c-conjecture in holography

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.