Black holes and class groups

TL;DR

This paper explores the intriguing connection between the theory of quadratic forms, class numbers, and black holes in string theory, aiming to inspire interdisciplinary collaboration.

Contribution

It highlights the recent appearance of class numbers in black hole studies and raises questions to foster collaboration between number theorists and physicists.

Findings

Class numbers are linked to black hole properties in string theory

The paper raises new questions for interdisciplinary research

It emphasizes the relevance of quadratic forms in physics

Abstract

The theory of quadratic forms and class numbers has connections to many classical problems in number theory. Recently, class numbers have appeared in the study of black holes in string theory. We describe this connection and raise questions in the hope of inspiring new collaborations between number theorists and physicists.