Abstract
Holographic RG flows dual to QFTs on maximally symmetric curved manifolds (dSd, AdSd, and Sd) 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.
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Ghosh, J.K., Kiritsis, E., Nitti, F. et al. Holographic RG flows on curved manifolds and quantum phase transitions. J. High Energ. Phys. 2018, 34 (2018). https://doi.org/10.1007/JHEP05(2018)034
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DOI: https://doi.org/10.1007/JHEP05(2018)034