Exotic RG Flows from Holography

TL;DR

This paper explores new types of holographic RG flows in Einstein-dilaton models, revealing solutions with exotic properties such as patch-wise beta-functions and flows between non-adjacent extrema, expanding understanding of holographic dualities.

Contribution

It introduces novel holographic RG flow solutions with unique properties, including sign-changing beta-functions and flows connecting distant extrema, using the superpotential formalism.

Findings

Discovered solutions with beta-functions defined patch-wise.

Identified flows ending in non-neighboring extrema.

Found regular flows driven by irrelevant operators in UV CFT.

Abstract

Holographic RG flows are studied in an Einstein-dilaton theory with a general potential. The superpotential formalism is utilized in order to characterize and classify all solutions that are associated to asymptotically AdS space-times. Such solutions correspond to holographic RG flows and are characterized by their holographic $\beta$-functions. Novel solutions are found that have exotic properties from a RG point-of view. Some have $\beta$-functions that are defined patch-wise and lead to flows where the $\beta$-function changes sign without the flow stopping. Others describe flows that end in non-neighboring extrema in field space. Finally others describe regular flows between two minima of the potential and correspond holographically to flows driven by the VEV of an irrelevant operator in the UV CFT.