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

Satoshi Yamaguchi

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arXiv · 2102.04768

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

Satoshi Yamaguchi

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Abstract

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 BPS fractons.

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Satoshi Yamaguchi. 2021-02-09. Supersymmetric quantum field theory with exotic symmetry in 3+1 dimensions and fermionic fracton phases. https://arxiv.org/abs/2102.04768

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