M-theory frozen singularities are (locally) - or -type orbifold singularities with a background fractional -monodromy surrounding them. In this paper, we revisit such backgrounds and address several puzzling features of their physics. We first give a top-down derivation of how the - or -type 7D gauge theory directly “freezes” to a lower-rank gauge theory due to the background. This relies on a Hanany-Witten effect of fractional M5 branes and the presence of a gauge anomaly of fractional probes in the circle reduction. Additionally, we compute defect groups and 8D symmetry topological field theories of the 7D frozen theories in several duality frames. We apply our results to understanding the evenness condition of strings ending on planes, and calculating the global forms of supergravity gauge groups of M-theory compactified on with frozen singularities. We also revisit IIA singularities with a -monodromy along a 1-cycle in the boundary lens space and show that this freezes the gauge degrees of freedom via confinement. Published by the American Physical Society 2025
@article{osti_2505083,
author = {Cvetič, Mirjam and Dierigl, Markus and Lin, Ling and Torres, Ethan and Zhang, Hao Y.},
title = {Frozen generalized symmetries},
annote = { M-theory frozen singularities are (locally) D - or E -type orbifold singularities with a background fractional C 3 -monodromy surrounding them. In this paper, we revisit such backgrounds and address several puzzling features of their physics. We first give a top-down derivation of how the D - or E -type 7D N = 1 gauge theory directly “freezes” to a lower-rank gauge theory due to the C 3 background. This relies on a Hanany-Witten effect of fractional M5 branes and the presence of a gauge anomaly of fractional D p probes in the circle reduction. Additionally, we compute defect groups and 8D symmetry topological field theories of the 7D frozen theories in several duality frames. We apply our results to understanding the evenness condition of strings ending on O 7 + planes, and calculating the global forms of supergravity gauge groups of M-theory compactified on T 4 / Γ with frozen singularities. We also revisit IIA A D E singularities with a C 1 -monodromy along a 1-cycle in the boundary lens space and show that this freezes the gauge degrees of freedom via confinement. Published by the American Physical Society 2025 },
doi = {10.1103/PhysRevD.111.026018},
url = {https://www.osti.gov/biblio/2505083},
journal = {Physical Review. D.},
issn = {ISSN 2470-0010},
number = {2},
volume = {111},
place = {United States},
publisher = {American Physical Society},
year = {2025},
month = {01}}
Proceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017)https://doi.org/10.22323/1.305.0020
Proceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017)https://doi.org/10.22323/1.305.0016