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Similar

P. Gorantla, H. T. Lam, N. Seiberg, and S.-H. Shao, “More Exotic Field Theories in 3+1 Dimensions,” SciPost Phys
Original
2007
Cited alongside, same era.
K. Slagle, “Foliated Quantum Field Theory of Fracton Order,” Phys. Rev. Lett
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A. Kapustin and N. Seiberg, “Coupling a QFT to a TQFT and Duality,” JHEP
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S. Vijay, J. Haah, and L. Fu, “A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations,” Phys. Rev. B

Then

T. Devakul, D. J. Williamson, and Y. You, “Classification of subsystem symmetry-protected topological phases,” Phys. Rev. B
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R. M. Nandkishore and M. Hermele, “Fractons,” Ann. Rev. Condensed Matter Phys
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K. Slagle, D. Aasen, and D. Williamson, “Foliated Field Theory and String-Membrane-Net Condensation Picture of Fracton Order,” SciPost Phys
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W. Shirley, K. Slagle, and X. Chen, “Fractional excitations in foliated fracton phases,” Annals Phys
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W. Shirley, K. Slagle, and X. Chen, “Foliated fracton order from gauging subsystem symmetries,” SciPost Phys

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2022

Foliated-Exotic Duality in Fractonic BF Theories

Ohmori, Kantaro, Shimamura, Shutaro

Understand

There has been proposed two continuum descriptions of fracton systems: foliated quantum field theories (FQFTs) and exotic quantum field theories.

Certain fracton systems are believed to admit descriptions by both, and hence a duality is expected between such a class of FQFTs and exotic QFTs.
In this paper we study this duality in detail for concrete examples in $2+1$ and $3+1$ dimensions.
In the examples, both sides of the continuum theories are of $BF$-type, and we find the explicit correspondences of gauge-invariant operators, gauge fields, parameters, and allowed singularities and discontinuities.