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

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 $\phi$ 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 $\phi$ theory. We also write down the action of a supersymmetric version of a tensor gauge theory, and discuss BPS fractons.

16 pages, no figures. v2: typos corrected, references added. v3:typos corrected, comments added

References in corpus (5)

• Exotic $U(1)$ Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory
• Field Theories With a Vector Global Symmetry
• Multipolar Topological Field Theories: Bridging Higher Order Topological Insulators and Fractons
• Majorana Quantum Lego, a Route Towards Fracton Matter
• Fractonic order and emergent fermionic gauge theory