String dualities and modular symmetries in supergravity: a review

TL;DR

This review explores how modular symmetries in supergravity models enhance understanding of quantum gravity, highlighting recent advances in four-dimensional theories with different supersymmetry levels.

Contribution

It synthesizes recent developments on the role of modular symmetries in supergravity, emphasizing their significance in quantum gravity research.

Findings

Modular symmetries provide deep insights into supergravity structures.

Recent advances connect supergravity with mathematical concepts of dualities.

Supergravity models serve as a window into quantum gravity phenomena.

Abstract

We review the remarkable interplay between modular symmetries and supergravity, which has led to major advances in both physics and mathematics in recent decades. Our focus will be on four-dimensional models with $\mathcal{N}=1$ and $\mathcal{N}=2$ local supersymmetry. We will look at the early articles on the topic, but also touch on recent developments. These results testify to how supergravity, when supplemented with the appropriate assumptions, can be turned into a unique window into quantum gravity.