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Supersymmetric quantum field theory with exotic symmetry in 3+1 dimensions and fermionic fracton phases (2102.04768v3)

Published 9 Feb 2021 in hep-th and cond-mat.str-el

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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