Global structures from the infrared
Abstract Quantum field theories with identical local dynamics can admit different choices of global structure, leading to different partition functions and spectra of extended operators. Such choices can be reformulated in terms of a topological field theory in one dimension higher, the symmetry TFT...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)058 |
| _version_ | 1797199724007129088 |
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| author | Michele Del Zotto Iñaki García Etxebarria |
| author_facet | Michele Del Zotto Iñaki García Etxebarria |
| author_sort | Michele Del Zotto |
| collection | DOAJ |
| description | Abstract Quantum field theories with identical local dynamics can admit different choices of global structure, leading to different partition functions and spectra of extended operators. Such choices can be reformulated in terms of a topological field theory in one dimension higher, the symmetry TFT. In this paper we show that this TFT can be reconstructed from a careful analysis of the infrared Coulomb-like phases. In particular, the TFT matches between the UV and the IR. This provides a purely field theoretical counterpart of several recent results obtained via geometric engineering in various string/M/F theory setups for theories in four and five dimensions that we confirm and extend. |
| first_indexed | 2024-03-11T11:08:59Z |
| format | Article |
| id | doaj.art-f2949f857eca4dabac730a7c82fba7ad |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:20:18Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f2949f857eca4dabac730a7c82fba7ad2024-04-21T11:05:25ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231112610.1007/JHEP11(2023)058Global structures from the infraredMichele Del Zotto0Iñaki García Etxebarria1Department of Mathematics and Department of Physics and Astronomy, Uppsala UniversityDepartment of Mathematical Sciences, Durham UniversityAbstract Quantum field theories with identical local dynamics can admit different choices of global structure, leading to different partition functions and spectra of extended operators. Such choices can be reformulated in terms of a topological field theory in one dimension higher, the symmetry TFT. In this paper we show that this TFT can be reconstructed from a careful analysis of the infrared Coulomb-like phases. In particular, the TFT matches between the UV and the IR. This provides a purely field theoretical counterpart of several recent results obtained via geometric engineering in various string/M/F theory setups for theories in four and five dimensions that we confirm and extend.https://doi.org/10.1007/JHEP11(2023)058Global SymmetriesSupersymmetric Gauge TheoryDiscrete SymmetriesDuality in Gauge Field Theories |
| spellingShingle | Michele Del Zotto Iñaki García Etxebarria Global structures from the infrared Journal of High Energy Physics Global Symmetries Supersymmetric Gauge Theory Discrete Symmetries Duality in Gauge Field Theories |
| title | Global structures from the infrared |
| title_full | Global structures from the infrared |
| title_fullStr | Global structures from the infrared |
| title_full_unstemmed | Global structures from the infrared |
| title_short | Global structures from the infrared |
| title_sort | global structures from the infrared |
| topic | Global Symmetries Supersymmetric Gauge Theory Discrete Symmetries Duality in Gauge Field Theories |
| url | https://doi.org/10.1007/JHEP11(2023)058 |
| work_keys_str_mv | AT micheledelzotto globalstructuresfromtheinfrared AT inakigarciaetxebarria globalstructuresfromtheinfrared |