Electric-magnetic duality in twisted quantum double model of topological orders

Hu，Yuting1,2,4; Wan，Yidun1,2,3

2020-11-01

10.1007/JHEP11(2020)170

Journal of High Energy Physics   影响因子和分区

1029-8479

1029-8479

We derive a partial electric-magnetic (PEM) duality transformation of the twisted quantum double (TQD) model TQD(G, α) — discrete Dijkgraaf-Witten model — with a finite gauge group G, which has an Abelian normal subgroup N , and a three-cocycle α ∈ H(G, U(1)). Any equivalence between two TQD models, say, TQD(G, α) and TQD(G′, α′), can be realized as a PEM duality transformation, which exchanges the N-charges and N-fluxes only. Via the PEM duality, we construct an explicit isomorphism between the corresponding TQD algebras D(G) and D(G′) and derive the map between the anyons of one model and those of the other.

Anyons Duality in Gauge Field Theories Topological States of Matter

SCI

英语

第一 ; 通讯

NSF[11875109] ; Shanghai Municipal Science and Technology Major Project[2019SHZDZX01]

Physics

Physics, Particles & Fields

WOS:000600146300001

SPRINGER

PHYSICS

2-s2.0-85097423699

Scopus

1.Department of Physics and Institute for Quantum Science and Engineering,South University of Science and Technology,Shenzhen,1088 Xueyuan Ave, Nanshan,China
2.State Key Laboratory of Surface Physics,Fudan University,Shanghai,220 Handan Rd, Yangpu District,China
3.Department of Physics,Center for Field Theory and Particle Physics,and Institute for Nanoelectronic devices and Quantum computing,Fudan University,Shanghai,220 Handan Rd, Yangpu District,China
4.eCAS Key Laboratory of Microscale Magnetic Resonance and Department of Modern Physics,University of Science and Technology of China,Hefei,No. 96 Rd,China

Hu，Yuting,Wan，Yidun. Electric-magnetic duality in twisted quantum double model of topological orders[J]. Journal of High Energy Physics,2020,2020(11).

Hu，Yuting,&Wan，Yidun.(2020).Electric-magnetic duality in twisted quantum double model of topological orders.Journal of High Energy Physics,2020(11).

Hu，Yuting,et al."Electric-magnetic duality in twisted quantum double model of topological orders".Journal of High Energy Physics 2020.11(2020).