Maximally Supersymmetric AdS Solutions in Gauged Supergravity

TL;DR

This thesis classifies all maximally supersymmetric solutions in gauged supergravity theories, focusing on anti-de Sitter solutions relevant for the AdS/CFT correspondence, and explores their gauge structures and deformations.

Contribution

It provides a comprehensive classification of maximally supersymmetric solutions across all gauged supergravities in dimensions D ≥ 3 and analyzes the structure of AdS solutions in D ≥ 4.

Findings

Classified all maximally supersymmetric solutions in gauged supergravity theories.

Analyzed the gauge group structures of AdS solutions.

Explored supersymmetry-preserving deformations related to dual SCFTs.

Abstract

In this thesis we study maximally supersymmetric solutions of gauged supergravity theories, with special focus on anti-de Sitter solutions. The latter are relevant in the context of the AdS/CFT correspondence. In the first part we classify all maximally supersymmetric solutions of all gauged or deformed supergravity theories in $D \geq 3$ space-time dimensions. In the second part we exclusively study maximally supersymmetric AdS$_D$ solutions of gauged supergravities in dimensions $D \geq 4$. We discuss the structure of the allowed gauge groups as well as possible supersymmetry preserving deformations, which correspond to the conformal manifold of the dual SCFTs.