Simons Lectures on Categorical Symmetries
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...
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| creator | 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 |
| description | 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 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. |
| doi_str_mv | 10.48550/arxiv.2411.09082 |
| format | Article |
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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 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.</description><identifier>DOI: 10.48550/arxiv.2411.09082</identifier><language>eng</language><subject>Mathematics - Algebraic Topology ; Mathematics - Category Theory ; Mathematics - Mathematical Physics ; Mathematics - Quantum Algebra ; Physics - High Energy Physics - Theory ; Physics - Mathematical Physics</subject><creationdate>2024-11</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2411.09082$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2411.09082$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Costa, Davi</creatorcontrib><creatorcontrib>Córdova, Clay</creatorcontrib><creatorcontrib>Del Zotto, Michele</creatorcontrib><creatorcontrib>Freed, Dan</creatorcontrib><creatorcontrib>Gödicke, Jonte</creatorcontrib><creatorcontrib>Hofer, Aaron</creatorcontrib><creatorcontrib>Jordan, David</creatorcontrib><creatorcontrib>Morgante, Davide</creatorcontrib><creatorcontrib>Moscrop, Robert</creatorcontrib><creatorcontrib>Ohmori, Kantaro</creatorcontrib><creatorcontrib>Gårding, Elias Riedel</creatorcontrib><creatorcontrib>Scheimbauer, Claudia</creatorcontrib><creatorcontrib>Švraka, Anja</creatorcontrib><title>Simons Lectures on Categorical Symmetries</title><description>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 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.</description><subject>Mathematics - Algebraic Topology</subject><subject>Mathematics - Category Theory</subject><subject>Mathematics - Mathematical Physics</subject><subject>Mathematics - Quantum Algebra</subject><subject>Physics - High Energy Physics - Theory</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjE01DOwNLAw4mTQDM7Mzc8rVvBJTS4pLUotVsjPU3BOLElNzy_KTE7MUQiuzM1NLSnKTC3mYWBNS8wpTuWF0twM8m6uIc4eumBD4wuKMnMTiyrjQYbHgw03JqwCANwULls</recordid><startdate>20241113</startdate><enddate>20241113</enddate><creator>Costa, Davi</creator><creator>Córdova, Clay</creator><creator>Del Zotto, Michele</creator><creator>Freed, Dan</creator><creator>Gödicke, Jonte</creator><creator>Hofer, Aaron</creator><creator>Jordan, David</creator><creator>Morgante, Davide</creator><creator>Moscrop, Robert</creator><creator>Ohmori, Kantaro</creator><creator>Gårding, Elias Riedel</creator><creator>Scheimbauer, Claudia</creator><creator>Švraka, Anja</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20241113</creationdate><title>Simons Lectures on Categorical Symmetries</title><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></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2411_090823</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Algebraic Topology</topic><topic>Mathematics - Category Theory</topic><topic>Mathematics - Mathematical Physics</topic><topic>Mathematics - Quantum Algebra</topic><topic>Physics - High Energy Physics - Theory</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Costa, Davi</creatorcontrib><creatorcontrib>Córdova, Clay</creatorcontrib><creatorcontrib>Del Zotto, Michele</creatorcontrib><creatorcontrib>Freed, Dan</creatorcontrib><creatorcontrib>Gödicke, Jonte</creatorcontrib><creatorcontrib>Hofer, Aaron</creatorcontrib><creatorcontrib>Jordan, David</creatorcontrib><creatorcontrib>Morgante, Davide</creatorcontrib><creatorcontrib>Moscrop, Robert</creatorcontrib><creatorcontrib>Ohmori, Kantaro</creatorcontrib><creatorcontrib>Gårding, Elias Riedel</creatorcontrib><creatorcontrib>Scheimbauer, Claudia</creatorcontrib><creatorcontrib>Švraka, Anja</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Costa, Davi</au><au>Córdova, Clay</au><au>Del Zotto, Michele</au><au>Freed, Dan</au><au>Gödicke, Jonte</au><au>Hofer, Aaron</au><au>Jordan, David</au><au>Morgante, Davide</au><au>Moscrop, Robert</au><au>Ohmori, Kantaro</au><au>Gårding, Elias Riedel</au><au>Scheimbauer, Claudia</au><au>Švraka, Anja</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Simons Lectures on Categorical Symmetries</atitle><date>2024-11-13</date><risdate>2024</risdate><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 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.</abstract><doi>10.48550/arxiv.2411.09082</doi><oa>free_for_read</oa></addata></record> |
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| identifier | DOI: 10.48550/arxiv.2411.09082 |
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| language | eng |
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| subjects | Mathematics - Algebraic Topology Mathematics - Category Theory Mathematics - Mathematical Physics Mathematics - Quantum Algebra Physics - High Energy Physics - Theory Physics - Mathematical Physics |
| title | Simons Lectures on Categorical Symmetries |
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