Foliated-exotic duality in fractonic BF theories

Ohmori, Kantaro; Shimamura, Shutaro

doi:10.21468/SciPostPhys.14.6.164

SciPost Physics

Foliated-exotic duality in fractonic BF theories

Kantaro Ohmori, Shutaro Shimamura

SciPost Phys. 14, 164 (2023) · published 21 June 2023

doi: 10.21468/SciPostPhys.14.6.164
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.6.164
TI  - Foliated-exotic duality in fractonic BF theories
PY  - 2023/06/21
UR  - https://scipost.org/SciPostPhys.14.6.164
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 6
SP  - 164
A1  - Ohmori, Kantaro
AU  - Shimamura, Shutaro
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.14.6.164,
	title={{Foliated-exotic duality in fractonic BF theories}},
	author={Kantaro Ohmori and Shutaro Shimamura},
	journal={SciPost Phys.},
	volume={14},
	pages={164},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.6.164},
	url={https://scipost.org/10.21468/SciPostPhys.14.6.164},
}

Cited by 5

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¹ Kantaro Ohmori,
¹ Shutaro Shimamura

¹ 東京大学 / University of Tokyo [UT]

Funders for the research work leading to this publication