Magnetic and electric AdS solutions in string- and M-theory

TL;DR

This paper explores the stability and construction of various magnetic and electric AdS solutions in string- and M-theory, including supersymmetric and non-supersymmetric cases, and their interpolations providing stable ground states for dual CFTs.

Contribution

It introduces new families of magnetic and electric AdS solutions in different dimensions, including supersymmetric ones, and constructs domain walls connecting these solutions to AdS backgrounds.

Findings

Identified stable magnetic AdS solutions in D=5 and D=4 gauged supergravity.

Constructed supersymmetric domain walls interpolating between AdS spaces.

Discovered new electric AdS solutions with different dimensionalities.

Abstract

The stability properties of a family of magnetic $AdS_{3}\times \mathbb{R}^{2}$ solutions of D=5, SO(6) gauged SUGRA are investigated in more detail. We construct an analogous family of magnetic $AdS_{2}\times \mathbb{R}^{2}$ solutions of D=4, SO(8) gauged SUGRA, including a family of supersymmetric solutions, and also investigate their stability. We construct supersymmetric domain walls that interpolate between AdS_5 and an $AdS_3\times\mathbb{R}^2$ solution and also between AdS_4 and an $AdS_2\times\mathbb{R}^2$ solution which provide stable zero temperature ground states for the corresponding dual CFTs. We also construct new families of electric $AdS_{2}\times \mathbb{R}^{3}$ and $AdS_{2}\times \mathbb{R}^{2}$ solutions.