Critical Lattice Model for a Haagerup Conformal Field Theory

verfasst von
Robijn Vanhove, Laurens Lootens, Maarten Van Damme, Ramona Wolf, Tobias J. Osborne, Jutho Haegeman, Frank Verstraete
Abstract

We use the formalism of strange correlators to construct a critical classical lattice model in two dimensions with the Haagerup fusion category H3 as input data. We present compelling numerical evidence in the form of finite entanglement scaling to support a Haagerup conformal field theory (CFT) with central charge c=2. Generalized twisted CFT spectra are numerically obtained through exact diagonalization of the transfer matrix, and the conformal towers are separated in the spectra through their identification with the topological sectors. It is further argued that our model can be obtained through an orbifold procedure from a larger lattice model with input Z(H3), which is the simplest modular tensor category that does not admit an algebraic construction. This provides a counterexample for the conjecture that all rational CFT can be constructed from standard methods.

Organisationseinheit(en)
Abt. Nanostrukturen
Institut für Theoretische Physik
QuantumFrontiers
SFB 1227: Designte Quantenzustände der Materie (DQ-mat)
Externe Organisation(en)
Universiteit Gent
Typ
Artikel
Journal
Physical review letters
Band
128
ISSN
0031-9007
Publikationsdatum
10.06.2022
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Allgemeine Physik und Astronomie
Elektronische Version(en)
https://doi.org/10.48550/arXiv.2110.03532 (Zugang: Offen)
https://doi.org/10.1103/PhysRevLett.128.231602 (Zugang: Geschlossen)
https://biblio.ugent.be/publication/8759783 (Zugang: Offen)