Some aspects of symmetry descent
Abstract In many cases the symmetry structure of quantum field theories can be neatly encoded into their associated symmetry topological field theory (SymTFT), a topological field theory in one dimension higher. For geometrically engineered QFTs in string theory this SymTFT has been argued to arise...
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Language: | English |
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2024-12-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP12(2024)223 |
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author | Iñaki García Etxebarria Saghar S. Hosseini |
author_facet | Iñaki García Etxebarria Saghar S. Hosseini |
author_sort | Iñaki García Etxebarria |
collection | DOAJ |
description | Abstract In many cases the symmetry structure of quantum field theories can be neatly encoded into their associated symmetry topological field theory (SymTFT), a topological field theory in one dimension higher. For geometrically engineered QFTs in string theory this SymTFT has been argued to arise from the background geometry, essentially by integration of the topological sector of string theory on the horizon of the geometry transverse to the QFT locus. In this paper we clarify some subtle aspects of this proposal. We take a higher dimensional approach, where the ten dimensional string theory fields to be integrated arise as edge modes of a topological field theory in eleven dimensions. The resulting construction provides a SymTFT generalisation of the descent procedure for anomalies. |
format | Article |
id | doaj-art-452f8474537648f9bb43bf59539295b2 |
institution | Kabale University |
issn | 1029-8479 |
language | English |
publishDate | 2024-12-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj-art-452f8474537648f9bb43bf59539295b22025-01-12T12:05:49ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241213810.1007/JHEP12(2024)223Some aspects of symmetry descentIñaki García Etxebarria0Saghar S. Hosseini1Department of Mathematical Sciences, Durham UniversityKavli Institute for the Physics and Mathematics of the Universe (WPI), University of TokyoAbstract In many cases the symmetry structure of quantum field theories can be neatly encoded into their associated symmetry topological field theory (SymTFT), a topological field theory in one dimension higher. For geometrically engineered QFTs in string theory this SymTFT has been argued to arise from the background geometry, essentially by integration of the topological sector of string theory on the horizon of the geometry transverse to the QFT locus. In this paper we clarify some subtle aspects of this proposal. We take a higher dimensional approach, where the ten dimensional string theory fields to be integrated arise as edge modes of a topological field theory in eleven dimensions. The resulting construction provides a SymTFT generalisation of the descent procedure for anomalies.https://doi.org/10.1007/JHEP12(2024)223Conformal Field Models in String TheoryGlobal SymmetriesSupersymmetric Gauge TheoryTopological Field Theories |
spellingShingle | Iñaki García Etxebarria Saghar S. Hosseini Some aspects of symmetry descent Journal of High Energy Physics Conformal Field Models in String Theory Global Symmetries Supersymmetric Gauge Theory Topological Field Theories |
title | Some aspects of symmetry descent |
title_full | Some aspects of symmetry descent |
title_fullStr | Some aspects of symmetry descent |
title_full_unstemmed | Some aspects of symmetry descent |
title_short | Some aspects of symmetry descent |
title_sort | some aspects of symmetry descent |
topic | Conformal Field Models in String Theory Global Symmetries Supersymmetric Gauge Theory Topological Field Theories |
url | https://doi.org/10.1007/JHEP12(2024)223 |
work_keys_str_mv | AT inakigarciaetxebarria someaspectsofsymmetrydescent AT sagharshosseini someaspectsofsymmetrydescent |