Simons Lectures on Categorical Symmetries
Davi Costa, Clay C\'ordova, Michele Del Zotto, Dan Freed, Jonte, G\"odicke, Aaron Hofer, David Jordan, Davide Morgante, Robert Moscrop,, Kantaro Ohmori, Elias Riedel G{\aa}rding, Claudia Scheimbauer, and Anja, \v{S}vraka

TL;DR
This volume introduces the concept of global categorical symmetries in quantum field theories, providing foundational lectures and methods for newcomers to explore this powerful analytical tool.
Contribution
It compiles and presents foundational lecture notes on global categorical symmetries in QFT, emphasizing accessible explanations and methods for beginners.
Findings
Introduces symmetry categories and their applications in QFT
Explains the cobordism hypothesis in the context of symmetries
Provides a beginner-friendly overview of anomalies and finite symmetries
Abstract
Global Categorical Symmetries are a powerful new tool for analyzing quantum field theories. This volume compiles lecture notes from the 2022 and 2023 summer schools on Global Categorical Symmetries, held at the Perimeter Institute for Theoretical Physics and at the Swiss Map Research Station in Les Diableret. Specifically, this volume collects the lectures: * An introduction to symmetries in quantum field theory, Kantaro Ohmori * Introduction to anomalies in quantum field theory, Clay C\'ordova * Symmetry Categories 101, Michele Del Zotto * Applied Cobordism Hypothesis, David Jordan * Finite symmetry in QFT, Daniel S. Freed These volumes are devoted to interested newcomers: we only assume (basic) knowledge of quantum field theory (QFT) and some relevant maths. We try to give appropriate references for non-standard materials that are not covered. Our aim in this first volume…
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.
Taxonomy
TopicsData Visualization and Analytics
