Magnetic AdS x R^2: Supersymmetry and stability

TL;DR

This paper explores supersymmetric and stable configurations in AdS/CFT with magnetic fields, analyzing dual geometries, moduli spaces, and entropies, and examining stability beyond supersymmetry.

Contribution

It constructs supersymmetric AdS_5 to AdS_3 x R^2 solutions with magnetic fields and analyzes their stability and entropy properties, including non-supersymmetric cases.

Findings

Supersymmetric solutions are obtained by balancing magnetic and D fields.

Interactions influence entropy even at weak coupling.

Non-supersymmetric embeddings show no known instabilities in certain regimes.

Abstract

We study AdS/CFT with a Kaluza-Klein magnetic field in one plane. By appropriate choice of magnetic U(1), and by balancing the magnetic field against the background D field, we obtain a supersymmetric field theory. We find the dual geometry for an AdS_5 to AdS_3 x R^2 example, and we compare the moduli spaces and entropies. For the entropy, the interactions are important even at weak coupling. We also consider nonsupersymmetric embeddings of the U(1), and show that over a regime of parameter space all known instabilities appear to be absent, aside from a dilaton tadpole that may be removed in a number of ways.