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Foliated-Exotic Duality in Fractonic BF Theories
by Kantaro Ohmori, Shutaro Shimamura
This Submission thread is now published as
Submission summary
| Submission information |
| Preprint Link: |
https://arxiv.org/abs/2210.11001v3
(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 |
| Specialties: |
- Condensed Matter Physics - Theory
- High-Energy Physics - Theory
|
| Approach: |
Theoretical |
Abstract
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.
