The Double Semion State in Infinite Volume

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

The Double Semion State in Infinite Volume. / Bols, Alex; Kjær, Boris; Moon, Alvin.

I: Annales Henri Poincare, 2024.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bols, A, Kjær, B & Moon, A 2024, 'The Double Semion State in Infinite Volume', Annales Henri Poincare. https://doi.org/10.1007/s00023-024-01445-y

APA

Bols, A., Kjær, B., & Moon, A. (2024). The Double Semion State in Infinite Volume. Annales Henri Poincare. https://doi.org/10.1007/s00023-024-01445-y

Vancouver

Bols A, Kjær B, Moon A. The Double Semion State in Infinite Volume. Annales Henri Poincare. 2024. https://doi.org/10.1007/s00023-024-01445-y

Author

Bols, Alex ; Kjær, Boris ; Moon, Alvin. / The Double Semion State in Infinite Volume. I: Annales Henri Poincare. 2024.

Bibtex

@article{74ae80e074564b9f8e2fa118cae17950,

title = "The Double Semion State in Infinite Volume",

abstract = "We describe in a simple setting how to extract a braided tensor category from a collection of superselection sectors of a two-dimensional quantum spin system, corresponding to abelian anyons. We extract from this category its fusion ring as well as its F and R-symbols. We then construct the double semion state in infinite volume and extract the braided tensor category describing its semion, anti-semion, and bound state excitations. We verify that this category is equivalent to the representation category of the twisted quantum double Dϕ(Z2).",

author = "Alex Bols and Boris Kj{\ae}r and Alvin Moon",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",

year = "2024",

doi = "10.1007/s00023-024-01445-y",

language = "English",

journal = "Annales Henri Poincare",

issn = "1424-0637",

publisher = "Springer Basel AG",

}

RIS

TY - JOUR

T1 - The Double Semion State in Infinite Volume

AU - Bols, Alex

AU - Kjær, Boris

AU - Moon, Alvin

PY - 2024

Y1 - 2024

N2 - We describe in a simple setting how to extract a braided tensor category from a collection of superselection sectors of a two-dimensional quantum spin system, corresponding to abelian anyons. We extract from this category its fusion ring as well as its F and R-symbols. We then construct the double semion state in infinite volume and extract the braided tensor category describing its semion, anti-semion, and bound state excitations. We verify that this category is equivalent to the representation category of the twisted quantum double Dϕ(Z2).

AB - We describe in a simple setting how to extract a braided tensor category from a collection of superselection sectors of a two-dimensional quantum spin system, corresponding to abelian anyons. We extract from this category its fusion ring as well as its F and R-symbols. We then construct the double semion state in infinite volume and extract the braided tensor category describing its semion, anti-semion, and bound state excitations. We verify that this category is equivalent to the representation category of the twisted quantum double Dϕ(Z2).

UR - http://www.scopus.com/inward/record.url?scp=85197374620&partnerID=8YFLogxK

U2 - 10.1007/s00023-024-01445-y

DO - 10.1007/s00023-024-01445-y

M3 - Journal article

AN - SCOPUS:85197374620

JO - Annales Henri Poincare

JF - Annales Henri Poincare

SN - 1424-0637

ER -

ID: 398548117