SciPost Submission Page
Fermionic Higher-form Symmetries
by Yi-Nan Wang, Yi Zhang
This Submission thread is now published as
|Authors (as registered SciPost users):||Yinan Wang · Yi Zhang|
|Preprint Link:||scipost_202304_00003v3 (pdf)|
|Date submitted:||2023-08-14 16:39|
|Submitted by:||Wang, Yinan|
|Submitted to:||SciPost Physics|
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.
Published as SciPost Phys. 15, 142 (2023)
Author comments upon resubmission
According to Referee 2's comment, we have added a short Appendix B on the vacuum expectation value of the fermionic Wilson loops in the free field case. We have also responded to the referees' questions by comments on the SciPost webpage.
List of changes
We added a short Appendix B on the vacuum expectation value (VEV) of the fermionic Wilson loops. In particular, we gave an example of a free Rarita-Schwinger field in 4d, where we computed the VEV of the fermionic Wilson loop and confirmed that it obeys the perimeter law.
Submission & Refereeing History
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Reports on this Submission
The authors have satisfactorily clarified the question raised in my previous report.
I consider the latest version of the manuscript fit for publication in SciPost. The paper has the potential for being of great impact in the field of generalized symmetries, and meets the acceptance criteria.