Higher-form symmetries and their anomalies in M-/F-theory duality

We explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to be equivalent to known characterizations of the gauge group topology in F-theory via Mordell--Weil tor...

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Autores principales: Cvetic, Mirjam, Dierigl, Markus, Lin, Ling, Zhang, Hao Y.
Lenguaje:eng
Publicado: 2021
Materias:
Nuclear Physics - Theory
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.104.126019
http://cds.cern.ch/record/2772620
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author Cvetic, Mirjam
Dierigl, Markus
Lin, Ling
Zhang, Hao Y.
author_facet Cvetic, Mirjam
Dierigl, Markus
Lin, Ling
Zhang, Hao Y.
author_sort Cvetic, Mirjam
collection CERN
description We explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to be equivalent to known characterizations of the gauge group topology in F-theory via Mordell--Weil torsion and string junctions. We further study dimensional reductions of the 11d Chern--Simons term in the presence of torsional boundary G4-fluxes, which encode background gauge fields of center 1-form symmetries in the lower-dimensional effective gauge theory. We find contributions that can be interpreted as 't Hooft anomalies involving the 1-form symmetry which originate from a fractionalization of the instanton number of non-Abelian gauge theories in F-/M-theory compactifications to 8d/7d and 6d/5d.
id cern-2772620
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2021
record_format invenio
spelling cern-27726202023-10-04T08:50:23Zdoi:10.1103/PhysRevD.104.126019http://cds.cern.ch/record/2772620engCvetic, MirjamDierigl, MarkusLin, LingZhang, Hao Y.Higher-form symmetries and their anomalies in M-/F-theory dualityNuclear Physics - TheoryParticle Physics - TheoryWe explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to be equivalent to known characterizations of the gauge group topology in F-theory via Mordell--Weil torsion and string junctions. We further study dimensional reductions of the 11d Chern--Simons term in the presence of torsional boundary G4-fluxes, which encode background gauge fields of center 1-form symmetries in the lower-dimensional effective gauge theory. We find contributions that can be interpreted as 't Hooft anomalies involving the 1-form symmetry which originate from a fractionalization of the instanton number of non-Abelian gauge theories in F-/M-theory compactifications to 8d/7d and 6d/5d.We explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to be equivalent to known characterizations of the gauge group topology in F-theory via Mordell-Weil torsion and string junctions. We further study dimensional reductions of the 11d Chern-Simons term in the presence of torsional boundary <math display="inline"><mrow><msub><mrow><mi>G</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></math>-fluxes, which encode background gauge fields of center one-form symmetries in the lower-dimensional effective gauge theory. We find contributions that can be interpreted as ’t Hooft anomalies involving the one-form symmetry which originate from a fractionalization of the instanton number of non-Abelian gauge theories in F-/M-theory compactifications to <math display="inline"><mrow><mn>8</mn><mi mathvariant="normal">d</mi><mo>/</mo><mn>7</mn><mi mathvariant="normal">d</mi></mrow></math> and <math display="inline"><mrow><mn>6</mn><mi mathvariant="normal">d</mi><mo>/</mo><mn>5</mn><mi mathvariant="normal">d</mi></mrow></math>.We explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to be equivalent to known characterizations of the gauge group topology in F-theory via Mordell--Weil torsion and string junctions. We further study dimensional reductions of the 11d Chern--Simons term in the presence of torsional boundary $G_4$-fluxes, which encode background gauge fields of center 1-form symmetries in the lower-dimensional effective gauge theory. We find contributions that can be interpreted as 't Hooft anomalies involving the 1-form symmetry which originate from a fractionalization of the instanton number of non-Abelian gauge theories in F-/M-theory compactifications to 8d/7d and 6d/5d.arXiv:2106.07654CERN-TH-2021-091UPR-1311-TLMU-ASC 17/21oai:cds.cern.ch:27726202021-06-13
spellingShingle Nuclear Physics - Theory
Particle Physics - Theory
Cvetic, Mirjam
Dierigl, Markus
Lin, Ling
Zhang, Hao Y.
Higher-form symmetries and their anomalies in M-/F-theory duality
title Higher-form symmetries and their anomalies in M-/F-theory duality
title_full Higher-form symmetries and their anomalies in M-/F-theory duality
title_fullStr Higher-form symmetries and their anomalies in M-/F-theory duality
title_full_unstemmed Higher-form symmetries and their anomalies in M-/F-theory duality
title_short Higher-form symmetries and their anomalies in M-/F-theory duality
title_sort higher-form symmetries and their anomalies in m-/f-theory duality
topic Nuclear Physics - Theory
Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.104.126019
http://cds.cern.ch/record/2772620
work_keys_str_mv AT cveticmirjam higherformsymmetriesandtheiranomaliesinmftheoryduality
AT dieriglmarkus higherformsymmetriesandtheiranomaliesinmftheoryduality
AT linling higherformsymmetriesandtheiranomaliesinmftheoryduality
AT zhanghaoy higherformsymmetriesandtheiranomaliesinmftheoryduality

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