Global aspects of moduli spaces of 2d SCFTs
High Energy Physics - Theory
2022-05-25 v1 Algebraic Geometry
Abstract
The Bagger-Witten line bundle is a line bundle over moduli spaces of two-dimensional SCFTs, related to the Hodge line bundle of holomorphic top-forms on Calabi-Yau manifolds. It has recently been a subject of a number of conjectures, but concrete examples have proven elusive. In this paper we collect several results on this structure, including a proposal for an intrinsic geometric definition over moduli spaces of Calabi-Yau manifolds and some additional concrete examples. We also conjecture a new criterion for UV completion of four-dimensional supergravity theories in terms of properties of the Bagger-Witten line bundle.
Keywords
Cite
@article{arxiv.1906.11254,
title = {Global aspects of moduli spaces of 2d SCFTs},
author = {Ron Donagi and Mark Macerato and Eric Sharpe},
journal= {arXiv preprint arXiv:1906.11254},
year = {2022}
}
Comments
44 pages, LaTeX