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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Main Authors: Iñaki García Etxebarria, Saghar S. Hosseini
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:Journal of High Energy Physics
Subjects:
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.
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institution Kabale University
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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