Holographic RG flows on Squashed $S^3$

TL;DR

This paper investigates holographic renormalization group flows in Einstein dilaton gravity dual to quantum field theories on a squashed three-sphere, revealing unique asymptotic behaviors distinct from standard models.

Contribution

It introduces a general analysis of RG flows driven by relevant scalar operators on squashed spheres, highlighting novel asymptotic structures.

Findings

Discovery of exotic asymptotics differing from Fefferman-Graham.

Analysis of UV and IR asymptotics in the context of squashed S^3.

General properties of holographic RG flows with a broad dilaton potential.

Abstract

Holographic RG flows dual to QFTs on a squashed $S^3$ are considered in the framework of Einstein dilaton gravity in four dimensions. A general dilaton potential is used and flows are driven by a scalar relevant operator. The general properties of such flows are analysed and the UV and IR asymptotics are computed. Exotic asymptotics are found, that are different from the standard Fefferman-Graham asymptotics.