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. This deepens the understanding of dualities in fractonic quantum field theories.
Cited by 3
Hsin et al., Gapped interfaces in fracton models and foliated fields
J. High Energ. Phys. 2023, 89 (2023) [Crossref]
Spieler, Exotic field theories for (hybrid) fracton phases from imposing constraints in foliated field theory
J. High Energ. Phys. 2023, 178 (2023) [Crossref]
Cao et al., Subsystem non-invertible symmetry operators and defects
SciPost Phys. 15, 155 (2023) [Crossref]