Holographic RG flows on curved manifolds and quantum phase transitions

• Main Authors: J. K. Ghosh, E. Kiritsis, F. Nitti, L. T. Witkowski
• Format: Article
• Language: English
• Published: SpringerOpen 2018-05-01
• Series: Journal of High Energy Physics
• Subjects: AdS-CFT Correspondence; Gauge-gravity correspondence; Renormalization Group
• Online Access: http://link.springer.com/article/10.1007/JHEP05(2018)034

Abstract Holographic RG flows dual to QFTs on maximally symmetric curved manifolds (dS d , AdS d , and S d ) are considered in the framework of Einstein-dilaton gravity in d + 1 dimensions. A general dilaton potential is used and the flows are driven by a scalar relevant operator. The general properties of such flows are analyzed and the UV and IR asymptotics computed. New RG flows can appear at finite curvature which do not have a zero curvature counterpart. The so-called ‘bouncing’ flows, where the β-function has a branch cut at which it changes sign, are found to persist at finite curvature. Novel quantum first-order phase transitions are found, triggered by a variation in the d-dimensional curvature in theories allowing multiple ground states.