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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 accepted: 2023-04-18
Date submitted: 2023-02-07 03:38
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.

Published as SciPost Phys. 14, 164 (2023)

Submission & Refereeing History

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Resubmission 2210.11001v3 on 7 February 2023

Reports on this Submission

Anonymous Report 1 on 2023-2-28 (Invited Report)


The referee recommends the publication of this work on Scipost.

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