Moduli flow and non-supersymmetric AdS attractors

TL;DR

This paper explores how moduli fields behave near black hole horizons in anti-de Sitter space within gauged supergravity, incorporating higher derivative corrections and holographic RG flow interpretations.

Contribution

It extends the attractor mechanism analysis to include higher derivatives and holographic perspectives in AdS, revealing new insights into moduli flow and c-function properties.

Findings

Holographic c-function exhibits expected monotonic behavior.

Higher derivative terms influence attractor solutions.

Subtleties in AdS attractor interpretation are identified.

Abstract

We investigate the attractor mechanism in gauged supergravity in the presence of higher derivatives terms. In particular, we discuss the attractor behaviour of static black hole horizons in anti-de Sitter spacetime by using the effective potential approach as well as Sen's entropy function formalism. We use the holographic techniques to interpret the moduli flow as an RG flow towards the IR attractor horizon. We find that the holographic c-function obeys the expected properties and point out some subtleties in understanding attractors in AdS.