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Foliated-Exotic Duality in Fractonic BF Theories

by Kantaro Ohmori, Shutaro Shimamura

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Submission summary

Authors (as registered SciPost users): Shutaro Shimamura
Submission information
Preprint Link:  (pdf)
Date submitted: 2022-11-01 06:41
Submitted by: Shimamura, Shutaro
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory
Approach: Theoretical


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.

Current status:
Has been resubmitted

Submission & Refereeing History

Reports on this Submission

Anonymous Report 2 on 2023-2-5 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:2210.11001v2, delivered 2023-02-05, doi: 10.21468/SciPost.Report.6680


In the literature, there have been two approaches to fracton models: one is based on the idea of foliated quantum field theories and the other is based on the idea of tensor gauge fields. This work explained the relations between these two approaches by demonstrating an equivalence/duality between the two in explicit examples . It spelled out in great detail how the duality works including the map on fields, operators, symmetries and the allowed singularities and discontinuities in fields.

The referee believes this work is a significant progress and will be a useful reference for the community. The referee therefore recommends the publication of this work on SciPost.

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Anonymous Report 1 on 2022-12-2 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:2210.11001v2, delivered 2022-12-02, doi: 10.21468/SciPost.Report.6244


The manuscript studied the correspondence between the foliated higher-form gauge theories and the tensor gauge theories using various examples. In particular, the manuscript made explicit comparisons between the singularities of the gauge fields.

- p2 first paragraph: "in the linear size of system" -> linear sizes
-p2 " the gapped excitations are not dynamical and arise as the gauge-invariant defect operators"-> gauge-invariant defects
-p22 "as a spacetime" -> as the spacetime

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