Exotic RG flows from holography

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 with asymptotically AdS space‐times. Such solutions correspond to holographic RG flows and are characterized by their holographic β‐functions. Novel solutions are found that have exotic properties from a RG point‐of view. Some have β‐functions that are defined patch‐wise and lead to flows where the β‐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.

Infrared behavior of Weyl gravity: Functional renormalization group approach

“…Let us note that this type of bouncing RG flow, i.e., flow that displays one or more bounces before reaching the IR FP is quite easy to encounter in a number of holography scenarios [72]. The bouncing RG flow of the above type has been seen also in condensed-matter effective field theories [77,78].…”

Randall-Sundrum model with a dilaton field at finite temperature

“…We begin by deriving the Hawking temperature associated with the metric in z coordinates Eq. (31). We initially focus on theories which are non-tachyonic, i.e., |λ| < 1.…”

“…(13) and (14). Superpotential methods are often used to introduce a holographic RG flow from the UV to the IR along the bulk direction and reduce the order of the differential equations [21,31]. These auxiliary superpotentials are tasked to generate the potential at zero temperature by a first order gradient flow along φ via…”

From sine-Gordon to vacuumless systems in flat and curved spacetimes

“…Thus, domain wall solutions such as those presented here naturally lead to confining regimes with a UV-cutoff located at u = 1 in the dual field theory. In this context, the solution φ(y(u)) is identified with the running coupling of the system (see [10,38,39] and the references therein), so that the β-function defined by…”