Holographic Renormalization Group Flows: The View from Ten Dimensions

TL;DR

This paper explores supersymmetric RG flows in supergravity from both five- and ten-dimensional perspectives, emphasizing the importance of ten-dimensional analysis for understanding infra-red behavior in holographic models.

Contribution

It demonstrates the necessity of ten-dimensional supergravity for accurately analyzing infra-red limits of supersymmetric RG flows, using the N=1* flow of N=4 super-Yang Mills as a case study.

Findings

Infra-red limits depend on vevs and approach direction.

Ten-dimensional description reveals brane interpretations.

Supergravity solutions can be viewed as 5-branes or 7-branes.

Abstract

The holographic description of supersymmetric RG flows in supergravity is considered from both the five-dimensional and ten-dimensional perspectives. An N=1* flow of N=4 super-Yang Mills is considered in detail, and the infra-red limit is studied in terms of IIB supergravity in ten dimensions. Depending on the vevs and the direction of approach to the core, the supergravity solution can be interpreted in terms of either 5-branes or 7-branes. Generally, it is shown that it is essential to use the ten-dimensional description in order to study the infra-red asymptotics in supergravity.