Higher-group symmetries and weak gravity conjecture mixing

A bstract In four-dimensional axion electrodynamics, a Chern-Simons coupling of the form θF ^ F leads to a higher-group global symmetry between background gauge fields. At the same time, such a Chern-Simons coupling leads to a mixing between the Weak Gravity Conjectures for the axion and the gauge f...

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Published in:The journal of high energy physics Vol. 2022; no. 7; pp. 40 - 33
Main Authors: Kaya, Sami, Rudelius, Tom
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2022
Springer Nature B.V
Springer Nature
SpringerOpen
Subjects:
Classical and Quantum Gravitation
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Coupling
Electrodynamics
Elementary Particles
Field Theories in Higher Dimensions
Field theory
Field theory (physics)
Gravity
High energy physics
Models of Quantum Gravity
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
String and Brane Phenomenology
String Theory
String Theory and Cosmic Strings
Supergravity
Symmetry
Field Theories in Higher Dimensions
String and Brane Phenomenology
String Theory and Cosmic Strings
Models of Quantum Gravity
ISSN:1029-8479, 1029-8479
Online Access:Get full text
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Summary:A bstract In four-dimensional axion electrodynamics, a Chern-Simons coupling of the form θF ^ F leads to a higher-group global symmetry between background gauge fields. At the same time, such a Chern-Simons coupling leads to a mixing between the Weak Gravity Conjectures for the axion and the gauge field, so that the charged excitations of a Weak Gravity Conjecture-satisfying axion string will also satisfy the Weak Gravity Conjecture for the gauge field. In this paper, we argue that these higher-group symmetries and this phenomenon of Weak Gravity Conjecture mixing are related to one another. We show that this relationship extends to supergravities in 5, 6, 7, 8, 9, and 10 dimensions, so higher-dimensional supergravity is endowed with precisely the structure needed to ensure consistency with emergent higher-group symmetries and with the Weak Gravity Conjecture. We further argue that a similar mixing of Weak Gravity Conjectures can occur in two-term Chern-Simons theories or in theories with kinetic mixing, though the connection with higher-group symmetries here is more tenuous, and accordingly the constraints on effective field theory are not as sharp.
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SC0019380; AC02-05CH11231; 2112880
USDOE Office of Science (SC), High Energy Physics (HEP)
National Science Foundation (NSF)
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2022)040