Supersymmetric quantum field theory with exotic symmetry in 3+1 dimensions and fermionic fracton phases

We propose a supersymmetric quantum field theory with exotic symmetry related to fracton phases. We use superfield formalism and write down the action of a supersymmetric version of the $\varphi$ theory in $3+1$ dimensions. It contains a large number of ground states due to the fermionic higher pole...

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Bibliographic Details
Published inProgress of theoretical and experimental physics Vol. 2021; no. 6
Main Author Yamaguchi, Satoshi
Format Journal Article
LanguageEnglish
Published 01.06.2021
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Summary:We propose a supersymmetric quantum field theory with exotic symmetry related to fracton phases. We use superfield formalism and write down the action of a supersymmetric version of the $\varphi$ theory in $3+1$ dimensions. It contains a large number of ground states due to the fermionic higher pole subsystem symmetry. Its residual entropy is proportional to the area instead of the volume. This theory has a self-duality similar to that of the $\varphi$ theory. We also write down the action of a supersymmetric version of a tensor gauge theory, and discuss Bogomol’nyi–Prasad–Sommerfield (BPS) fractons.
ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptab037