Note on the holographic c-function

TL;DR

This paper presents an algorithm for calculating the holographic c-function and central charge in arbitrary RG flows, including a detailed example and a review of the renormalization procedure.

Contribution

It introduces a practical algorithm for computing the holographic c-function in RG flows, expanding on previous methods with detailed steps and an example.

Findings

Developed an algorithm for c-function computation

Provided a detailed example calculation

Reviewed the renormalization procedure for central charge

Abstract

We discuss the holographic c-function and describe an algorithm for the practical computation of the changing central charge in arbitrary RG-flows. One example is worked out in detail. The renormalisation procedure of [hep-th/0112150]necessary to obtain the central charge is reviewed.