标题： 超引力中的弦对偶性和模对称性：综述 显示英文标题

标题： String dualities and modular symmetries in supergravity: a review

摘要： 我们回顾了模群对称性与超引力之间引人注目的相互作用，这种相互作用在过去几十年里在物理学和数学领域都取得了重大进展。 我们将重点关注具有$\mathcal{N}=1$和$\mathcal{N}=2$局域超对称性的四维模型。 我们将审视该主题的早期文章，同时也涉及最近的发展。 这些成果证明了当超引力附加适当的假设时，可以成为通向量子引力的独特窗口。 显示英文摘要

摘要： 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.