2-Group symmetries and M-theory

Del Zotto, Michele; García-Etxebarria, Iñaki; Schäfer-Nameki, Sakura

doi:10.21468/SciPostPhys.13.5.105

SciPost Physics

2-Group symmetries and M-theory

Michele Del Zotto, Iñaki García Etxebarria, Sakura Schäfer-Nameki

SciPost Phys. 13, 105 (2022) · published 8 November 2022

doi: 10.21468/SciPostPhys.13.5.105
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Abstract

Quantum Field Theories engineered in M-theory can have 2-group symmetries, mixing 0-form and 1-form symmetry backgrounds in non-trivial ways. In this paper we develop methods for determining the 2-group structure from the boundary geometry of the M-theory background. We illustrate these methods in the case of 5d theories arising from M-theory on ordinary and generalised toric Calabi-Yau cones, including cases in which the resulting theory is non-Lagrangian. Our results confirm and elucidate previous results on 2-groups from geometric engineering.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.13.5.105
TI  - 2-Group symmetries and M-theory
PY  - 2022/11/08
UR  - https://www.scipost.org/SciPostPhys.13.5.105
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 13
IS  - 5
SP  - 105
A1  - Del Zotto, Michele
AU  - García-Etxebarria, Iñaki
AU  - Schäfer-Nameki, Sakura
AB  - Quantum Field Theories engineered in M-theory can have 2-group symmetries, mixing 0-form and 1-form symmetry backgrounds in non-trivial ways. In this paper we develop methods for determining the 2-group structure from the boundary geometry of the M-theory background. We illustrate these methods in the case of 5d theories arising from M-theory on ordinary and generalised toric Calabi-Yau cones, including cases in which the resulting theory is non-Lagrangian. Our results confirm and elucidate previous results on 2-groups from geometric engineering.
ER  -

@Article{10.21468/SciPostPhys.13.5.105,
	title={{2-Group symmetries and M-theory}},
	author={Michele Del Zotto and Iñaki García Etxebarria and Sakura Schäfer-Nameki},
	journal={SciPost Phys.},
	volume={13},
	pages={105},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.13.5.105},
	url={https://scipost.org/10.21468/SciPostPhys.13.5.105},
}

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Funders for the research work leading to this publication

European Research Council [ERC]
Horizon 2020 (through Organization: European Commission [EC])
Science and Technology Facilities Council [STFC]
Simons Foundation