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High Energy Physics - Theory

Title: Understanding Fermionic Generalized Symmetries

Abstract: We explore new aspects of internal fermionic shifting symmetries, present in physical systems such as free Dirac spinors and p-form tensor-spinor fields. We propose a novel procedure to gauge these global symmetries, which also introduces a new St\"uckelberg mechanism to give a mass to free fermionic fields. Furthermore, we find new magnetic fermionic symmetries in these physical systems whose charged objects are disorder operators. For the case of a Dirac spinor, we discuss an dual description, where the magnetic symmetry acts on the holonomies of a dual 2-form tensor-spinor. Further generalizations such as higher-group-like structures are also discussed.
Comments: 5 pages plus 2 appendices
Subjects: High Energy Physics - Theory (hep-th)
Report number: DESY-24-055
Cite as: arXiv:2404.12301 [hep-th]
  (or arXiv:2404.12301v2 [hep-th] for this version)

Submission history

From: Federico Ambrosino [view email]
[v1] Thu, 18 Apr 2024 16:26:07 GMT (21kb,D)
[v2] Wed, 24 Apr 2024 16:16:04 GMT (21kb,D)

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