Holographic RG flows on Squashed $S^3$

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.

arXiv comment41 pages + appendices (v2) Several numerical errors corrected in equations (F.15-16) on page 68, (F.93-F.96) on page 79, ,(F.128-132) on page 83, (F.143-F.146) on page 85 , and (F.192) and (F.196) on page 91. These changes do not affect the results of the paper

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