Holography and Infrared Conformality in Two Dimensions

TL;DR

This paper reviews holographic renormalization and RG flow in two-dimensional N=(4,4) CFTs, illustrating the supergravity dual and comparing holographic and Zamolodchikov C-functions.

Contribution

It provides a detailed analysis of the holographic RG flow and correlator computations in 2d N=(4,4) CFTs, linking supergravity duals with conformal fixed points.

Findings

Explicit supergravity dual for the RG flow

Comparison of holographic and Zamolodchikov C-functions

Calculation of stress-energy correlators

Abstract

This is a very brief review of some results from hep-th/0112154 and hep-th/0209191. In holographic renormalization, we studied the RG flow of a 2d N=(4,4) CFT perturbed by a relevant operator, flowing to a conformal fixed point in the IR. Here, the supergravity dual is displayed, and the computation of correlators is discussed. The sample stress-energy correlator given here provides an opportunity to explicitly compare Zamolodchikov's C-function to the proposal for a "holographic C-function".