Exotic field theories for (hybrid) fracton phases from imposing constraints in foliated field theory

Spieler, Ryan C.

doi:10.1007/jhep09(2023)178

Exotic field theories for (hybrid) fracton phases from imposing constraints in foliated field theory

Journal Article · Tue Sep 26 00:00:00 EDT 2023 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep09(2023)178· OSTI ID:2338303

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University of Texas at Austin, TX (United States); University of Texas at Austin

Fracton phases of matter are gapped phases of matter that, by dint of their sensitivity to UV data, demand non-standard quantum field theories to describe them in the IR. Two such approaches are foliated quantum theory and exotic field theory. In this paper, we explicitly construct a map from one to the other and work out several examples. In particular, we recover the equivalence between the foliated and exotic fractonic BF theories recently demonstrated at the level of operator correspondence. We also demonstrate the equivalence of toric code layers and the anisotropic model with lineons and planons to the foliated BF theory with one and two foliations, respectively. Finally, we derive new exotic field theories that provide simple descriptions of hybrid fracton phases from foliated field theries known to do so. Our results both provide new examples of exotic field theories and pave the way toward their systematic construction from foliated field theories.

View Accepted Manuscript (DOE)

Research Organization:: University of Texas at Austin, TX (United States)

Sponsoring Organization:: Simons Foundation; USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0022021

OSTI ID:: 2338303

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2023; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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