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arXiv · 2404.12301

Understanding Fermionic Generalized Symmetries

Federico Ambrosino·Ran Luo·Yi-Nan Wang·Yi Zhang
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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.

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Federico Ambrosino, Ran Luo, Yi-Nan Wang, Yi Zhang. 2024-04-18. Understanding Fermionic Generalized Symmetries. https://arxiv.org/abs/2404.12301

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