Fermionic higher-form symmetries

Wang, Yi-Nan; Zhang, Yi

doi:10.21468/SciPostPhys.15.4.142

SciPost Physics

Fermionic higher-form symmetries

Yi-Nan Wang, Yi Zhang

SciPost Phys. 15, 142 (2023) · published 6 October 2023

doi: 10.21468/SciPostPhys.15.4.142
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Abstract

In this paper, we explore a new type of global symmetries - the fermionic higher-form symmetries. They are generated by topological operators with fermionic parameter, which act on fermionic extended objects. We present a set of field theory examples with fermionic higher-form symmetries, which are constructed from fermionic tensor fields. They include the free fermionic tensor theories, a new type of fermionic topological quantum field theories, as well as the exotic 6d (4,0) theory. We also discuss the gauging and breaking of such global symmetries and the relation to the no global symmetry swampland conjecture.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.4.142
TI  - Fermionic higher-form symmetries
PY  - 2023/10/06
UR  - https://scipost.org/SciPostPhys.15.4.142
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 4
SP  - 142
A1  - Wang, Yi-Nan
AU  - Zhang, Yi
AB  - In this paper, we explore a new type of global symmetries - the fermionic higher-form symmetries. They are generated by topological operators with fermionic parameter, which act on fermionic extended objects. We present a set of field theory examples with fermionic higher-form symmetries, which are constructed from fermionic tensor fields. They include the free fermionic tensor theories, a new type of fermionic topological quantum field theories, as well as the exotic 6d (4,0) theory. We also discuss the gauging and breaking of such global symmetries and the relation to the no global symmetry swampland conjecture.
ER  -

@Article{10.21468/SciPostPhys.15.4.142,
	title={{Fermionic higher-form symmetries}},
	author={Yi-Nan Wang and Yi Zhang},
	journal={SciPost Phys.},
	volume={15},
	pages={142},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.4.142},
	url={https://scipost.org/10.21468/SciPostPhys.15.4.142},
}

Cited by 3

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¹ Yi-Nan Wang,
¹ Yi Zhang

¹ 北京大学 / Peking University [PKU]

Funders for the research work leading to this publication