Higher-form symmetries in 5d

A bstract We study higher-form symmetries in 5d quantum field theories, whose charged operators include extended operators such as Wilson line and ’t Hooft operators. We outline criteria for the existence of higher-form symmetries both from a field theory point of view as well as from the geometric...

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Bibliographic Details
Published in:The journal of high energy physics Vol. 2020; no. 9; pp. 1 - 58
Main Authors: Morrison, David R., Schäfer-Nameki, Sakura, Willett, Brian
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2020
SpringerOpen
Subjects:
Classical and Quantum Gravitation
Conformal Field Models in String Theory
Elementary Particles
Global Symmetries
M-Theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supersymmetric Gauge Theory
Global Symmetries
Conformal Field Models in String Theory
M-Theory
Supersymmetric Gauge Theory
ISSN:1029-8479, 1029-8479
Online Access:Get full text
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Summary:A bstract We study higher-form symmetries in 5d quantum field theories, whose charged operators include extended operators such as Wilson line and ’t Hooft operators. We outline criteria for the existence of higher-form symmetries both from a field theory point of view as well as from the geometric realization in M-theory on non-compact Calabi-Yau threefolds. A geometric criterion for determining the higher-form symmetry from the intersection data of the Calabi-Yau is provided, and we test it in a multitude of examples, including toric geometries. We further check that the higher-form symmetry is consistent with dualities and is invariant under flop transitions, which relate theories with the same UV-fixed point. We explore extensions to higher-form symmetries in other compactifications of M-theory, such as G 2 -holonomy manifolds, which give rise to 4d N = 1 theories.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2020)024