Simons Lectures on Categorical Symmetries
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arXiv
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| Format: | Preprint |
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2024
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| author | Costa, Davi Córdova, Clay Del Zotto, Michele Freed, Dan Gödicke, Jonte Hofer, Aaron Jordan, David Morgante, Davide Moscrop, Robert Ohmori, Kantaro Gårding, Elias Riedel Scheimbauer, Claudia Švraka, Anja |
| author_facet | Costa, Davi Córdova, Clay Del Zotto, Michele Freed, Dan Gödicke, Jonte Hofer, Aaron Jordan, David Morgante, Davide Moscrop, Robert Ohmori, Kantaro Gårding, Elias Riedel Scheimbauer, Claudia Švraka, Anja |
| contents | 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 Córdova
* 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 is to illustrate some of the main questions and ideas together with some of the methods and the techniques necessary to begin exploring global categorical symmetries of QFTs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09082 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simons Lectures on Categorical Symmetries Costa, Davi Córdova, Clay Del Zotto, Michele Freed, Dan Gödicke, Jonte Hofer, Aaron Jordan, David Morgante, Davide Moscrop, Robert Ohmori, Kantaro Gårding, Elias Riedel Scheimbauer, Claudia Švraka, Anja Mathematical Physics High Energy Physics - Theory Algebraic Topology Category Theory Quantum Algebra 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 Córdova * 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 is to illustrate some of the main questions and ideas together with some of the methods and the techniques necessary to begin exploring global categorical symmetries of QFTs. |
| title | Simons Lectures on Categorical Symmetries |
| topic | Mathematical Physics High Energy Physics - Theory Algebraic Topology Category Theory Quantum Algebra |
| url | https://arxiv.org/abs/2411.09082 |