An overview of Bagger-Witten line bundles

TL;DR

This paper reviews recent progress on Bagger-Witten line bundles, exploring their geometric interpretation, applications in supergravity, and explicit examples over Calabi-Yau moduli spaces, highlighting their significance in string theory.

Contribution

It provides a comprehensive overview of Bagger-Witten line bundles, including a new geometric perspective and explicit examples in Calabi-Yau moduli spaces.

Findings

Bagger-Witten line bundles are linked to global U(1)_R symmetry.

A proposed geometric interpretation clarifies their mathematical structure.

Explicit examples over Calabi-Yau moduli spaces illustrate their applications.

Abstract

We give a brief overview of recent progress in understanding Bagger-Witten line bundles, which are bundles over moduli spaces of two-dimensional N=2 SCFTs whose existence is a consequence of the global U(1)_R symmetry of the theories. Our overview includes a discussion of applications in supergravities coupled to gauge theories, a proposal for a purely geometric interpretation, and explicit examples over moduli spaces of Calabi-Yau manifolds. (Contribution to the proceedings of the workshop "The geometry of moduli spaces in string theory" (Matrix institute, Australia, September 2024).)