Details
| Original language | English |
|---|---|
| Article number | 231602 |
| Journal | Physical review letters |
| Volume | 128 |
| Issue number | 23 |
| Publication status | Published - 10 Jun 2022 |
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.
Keywords
- cond-mat.stat-mech, hep-th, math-ph, math.MP, quant-ph
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physical review letters, Vol. 128, No. 23, 231602, 10.06.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Critical Lattice Model for a Haagerup Conformal Field Theory
AU - Vanhove, Robijn
AU - Lootens, Laurens
AU - Van Damme, Maarten
AU - Wolf, Ramona
AU - Osborne, Tobias J.
AU - Haegeman, Jutho
AU - Verstraete, Frank
PY - 2022/6/10
Y1 - 2022/6/10
N2 - 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.
AB - 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.
KW - cond-mat.stat-mech
KW - hep-th
KW - math-ph
KW - math.MP
KW - quant-ph
UR - http://www.scopus.com/inward/record.url?scp=85132340802&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2110.03532
DO - 10.48550/arXiv.2110.03532
M3 - Article
C2 - 35749193
VL - 128
JO - Physical review letters
JF - Physical review letters
SN - 0031-9007
IS - 23
M1 - 231602
ER -