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Supersymmetric quantum field theory with exotic symmetry in 3+1 dimensions and fermionic fracton phases
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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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Exotic massive fermionic systems with huge vacuum degeneracy at boundaries
Adding a mass term to the ψ theory leaves a gapped bulk but generates a boundary flat band of Majorana zero modes, yielding ground state entropy proportional to the boundary area.
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