Vacua of N=10 three dimensional gauged supergravity

TL;DR

This paper investigates the scalar potential landscape and vacua of N=10 three-dimensional gauged supergravity, identifying various AdS3 critical points and their symmetries relevant for dual 2D conformal field theories.

Contribution

It classifies and analyzes scalar vacua for multiple gauge groups in N=10 supergravity, revealing new AdS3 solutions and their symmetry properties.

Findings

Many AdS3 critical points with different unbroken gauge symmetries found.

Maximally supersymmetric points correspond to superconformal symmetries in dual CFTs.

Background isometries at critical points are explicitly characterized.

Abstract

We study scalar potentials and the corresponding vacua of N=10 three dimensional gauged supergravity. The theory contains 32 scalar fields parametrizing the exceptional coset space $\frac{E_{6(-14)}}{SO(10)\times U(1)}$. The admissible gauge groups considered in this work involve both compact and non-compact gauge groups which are maximal subgroups of $SO(10)\times U(1)$ and $E_{6(-14)}$, respectively. These gauge groups are given by $SO(p)\times SO(10-p)\times U(1)$ for $p=6,...10$, $SO(5)\times SO(5)$, $SU(4,2)\times SU(2)$, $G_{2(-14)}\times SU(2,1)$ and $F_{4(-20)}$. We find many AdS$_3$ critical points with various unbroken gauge symmetries. The relevant background isometries associated to the maximally supersymmetric critical points at which all scalars vanish are also given. These correspond to the superconformal symmetries of the dual conformal field theories in two dimensions.