SymTFTs and duality defects from 6d SCFTs on 4-manifolds
Abstract In this work we study particular TQFTs in three dimensions, known as Symmetry Topological Field Theories (or SymTFTs), to identify line defects of two-dimensional CFTs arising from the compactification of 6d (2, 0) SCFTs on 4-manifolds M 4. The mapping class group of M 4 and the automorphis...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-11-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)208 |
| _version_ | 1797199678454890496 |
|---|---|
| author | Jin Chen Wei Cui Babak Haghighat Yi-Nan Wang |
| author_facet | Jin Chen Wei Cui Babak Haghighat Yi-Nan Wang |
| author_sort | Jin Chen |
| collection | DOAJ |
| description | Abstract In this work we study particular TQFTs in three dimensions, known as Symmetry Topological Field Theories (or SymTFTs), to identify line defects of two-dimensional CFTs arising from the compactification of 6d (2, 0) SCFTs on 4-manifolds M 4. The mapping class group of M 4 and the automorphism group of the SymTFT switch between different absolute 2d theories or global variants. Using the combined symmetries, we realize the topological defects in these global variants. Our main example is ℙ1 × ℙ1. For N M5-branes the corresponding 2d theory inherits ℤ N 0-form symmetries from the SymTFT. We reproduce the orbifold groupoid for theories with ℤ N 0-form symmetries and realize the duality defects at fixed points of the coupling constant under elements of the mapping class group. We also study other Hirzebruch surfaces, del Pezzo surfaces, as well as the connected sum of ℙ1 × ℙ1. We find a rich network of global variants connected via automorphisms and realize more interesting topological defects. Finally, we derive the SymTFT on more general 4-manifolds and provide two examples. |
| first_indexed | 2024-03-09T06:02:21Z |
| format | Article |
| id | doaj.art-74bf705f9fd749dcaa6772d12da522c3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:19:34Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-74bf705f9fd749dcaa6772d12da522c32024-04-21T11:05:40ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231116110.1007/JHEP11(2023)208SymTFTs and duality defects from 6d SCFTs on 4-manifoldsJin Chen0Wei Cui1Babak Haghighat2Yi-Nan Wang3Department of Physics, Xiamen UniversityYanqi Lake Beijing Institute of Mathematical Sciences and Applications (BIMSA)Yau Mathematical Sciences Center, Tsinghua UniversitySchool of Physics, Peking UniversityAbstract In this work we study particular TQFTs in three dimensions, known as Symmetry Topological Field Theories (or SymTFTs), to identify line defects of two-dimensional CFTs arising from the compactification of 6d (2, 0) SCFTs on 4-manifolds M 4. The mapping class group of M 4 and the automorphism group of the SymTFT switch between different absolute 2d theories or global variants. Using the combined symmetries, we realize the topological defects in these global variants. Our main example is ℙ1 × ℙ1. For N M5-branes the corresponding 2d theory inherits ℤ N 0-form symmetries from the SymTFT. We reproduce the orbifold groupoid for theories with ℤ N 0-form symmetries and realize the duality defects at fixed points of the coupling constant under elements of the mapping class group. We also study other Hirzebruch surfaces, del Pezzo surfaces, as well as the connected sum of ℙ1 × ℙ1. We find a rich network of global variants connected via automorphisms and realize more interesting topological defects. Finally, we derive the SymTFT on more general 4-manifolds and provide two examples.https://doi.org/10.1007/JHEP11(2023)208Field Theories in Higher DimensionsGlobal SymmetriesTopological Field Theories |
| spellingShingle | Jin Chen Wei Cui Babak Haghighat Yi-Nan Wang SymTFTs and duality defects from 6d SCFTs on 4-manifolds Journal of High Energy Physics Field Theories in Higher Dimensions Global Symmetries Topological Field Theories |
| title | SymTFTs and duality defects from 6d SCFTs on 4-manifolds |
| title_full | SymTFTs and duality defects from 6d SCFTs on 4-manifolds |
| title_fullStr | SymTFTs and duality defects from 6d SCFTs on 4-manifolds |
| title_full_unstemmed | SymTFTs and duality defects from 6d SCFTs on 4-manifolds |
| title_short | SymTFTs and duality defects from 6d SCFTs on 4-manifolds |
| title_sort | symtfts and duality defects from 6d scfts on 4 manifolds |
| topic | Field Theories in Higher Dimensions Global Symmetries Topological Field Theories |
| url | https://doi.org/10.1007/JHEP11(2023)208 |
| work_keys_str_mv | AT jinchen symtftsanddualitydefectsfrom6dscftson4manifolds AT weicui symtftsanddualitydefectsfrom6dscftson4manifolds AT babakhaghighat symtftsanddualitydefectsfrom6dscftson4manifolds AT yinanwang symtftsanddualitydefectsfrom6dscftson4manifolds |