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Foliated-Exotic Duality in Fractonic BF Theories
by Kantaro Ohmori, Shutaro Shimamura
Submission summary
| Authors (as registered SciPost users): | Kantaro Ohmori · Shutaro Shimamura |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2210.11001v3 (pdf) |
| Date accepted: | April 18, 2023 |
| Date submitted: | Feb. 7, 2023, 3:38 a.m. |
| Submitted by: | Shutaro Shimamura |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
Published as SciPost Phys. 14, 164 (2023)
