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Exotic mathbb{Z}_N Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory

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arxiv 2004.06115 v3 pith:3GAONLCB submitted 2020-04-13 cond-mat.str-el hep-th

Exotic mathbb{Z}_N Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory

classification cond-mat.str-el hep-th
keywords fieldtheorycontinuumfieldsquantumanalysesaspectbehavior
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Following our earlier analyses of nonstandard continuum quantum field theories, we study here gapped systems in 3+1 dimensions, which exhibit fractonic behavior. In particular, we present three dual field theory descriptions of the low-energy physics of the X-cube model. A key aspect of our constructions is the use of discontinuous fields in the continuum field theory. Spacetime is continuous, but the fields are not.

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Cited by 5 Pith papers

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