Higher-group symmetries and weak gravity conjecture mixing

Kaya, Sami; Rudelius, Tom

doi:10.1007/jhep07(2022)040

Title: Higher-group symmetries and weak gravity conjecture mixing

Journal Article · 07 July 2022 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep07(2022)040 · OSTI ID:1976493

Kaya, Sami ^[1];

^[2]

University of California, Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
University of California, Berkeley, CA (United States)

In four-dimensional axion electrodynamics, a Chern-Simons coupling of the form $θF$ Λ $$F$$ 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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Research Organization:: University of California, Berkeley, CA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-05CH11231; SC0019380

OSTI ID:: 1976493

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2022; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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