TASI Lectures on Geometric Tools for String Compactifications
Lara B. Anderson, Mohsen Karkheiran

TL;DR
This paper offers a comprehensive overview of geometric methods, challenges, and recent advances in string compactifications, focusing on heterotic strings, Calabi-Yau manifolds, and related moduli problems.
Contribution
It provides a modern, self-contained introduction to tools and open questions in string compactifications, including progress on classifying backgrounds and understanding moduli spaces.
Findings
Progress on bounding and enumerating string backgrounds
Overview of Calabi-Yau constructions and classifications
Insights into moduli problems for holomorphic bundles
Abstract
In this work we provide a self-contained and modern introduction to some of the tools, obstacles and open questions arising in string compactifications. Techniques and current progress are illustrated in the context of smooth heterotic string compactifications to 4-dimensions. Progress is described on bounding and enumerating possible string backgrounds and their properties. We provide an overview of constructions, partial classifications, and moduli problems associated to Calabi-Yau manifolds and holomorphic bundles over them.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
