Critical lattice model for a Haagerup conformal field theory
- Author
- Robijn Vanhove (UGent) , Laurens Lootens (UGent) , Maarten Van Damme (UGent) , Ramona Wolf, Tobias J. Osborne, Jutho Haegeman (UGent) and Frank Verstraete (UGent)
- Organization
- Project
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- ERQUAF (Entanglement and Renormalisation for Quantum Fields)
- QUTE (Quantum tensor networks and entanglement)
- A tensor network perspective on the relation between topological and conformal field theory
- A tensor network perspective on anomalies in topological phases of matter
- A high-performance tensor network library for classical and quantum many body physics
- Abstract
- We use the formalism of strange correlators to construct a critical classical lattice model in two dimensions with the Haagerup fusion category 7-13 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(7-13), 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
- General Physics and Astronomy, ENTANGLEMENT, CONSTRUCTION, SUBFACTORS, SYMMETRY, ENTROPY
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8759783
- MLA
- Vanhove, Robijn, et al. “Critical Lattice Model for a Haagerup Conformal Field Theory.” PHYSICAL REVIEW LETTERS, vol. 128, no. 23, 2022, doi:10.1103/physrevlett.128.231602.
- APA
- Vanhove, R., Lootens, L., Van Damme, M., Wolf, R., Osborne, T. J., Haegeman, J., & Verstraete, F. (2022). Critical lattice model for a Haagerup conformal field theory. PHYSICAL REVIEW LETTERS, 128(23). https://doi.org/10.1103/physrevlett.128.231602
- Chicago author-date
- Vanhove, Robijn, Laurens Lootens, Maarten Van Damme, Ramona Wolf, Tobias J. Osborne, Jutho Haegeman, and Frank Verstraete. 2022. “Critical Lattice Model for a Haagerup Conformal Field Theory.” PHYSICAL REVIEW LETTERS 128 (23). https://doi.org/10.1103/physrevlett.128.231602.
- Chicago author-date (all authors)
- Vanhove, Robijn, Laurens Lootens, Maarten Van Damme, Ramona Wolf, Tobias J. Osborne, Jutho Haegeman, and Frank Verstraete. 2022. “Critical Lattice Model for a Haagerup Conformal Field Theory.” PHYSICAL REVIEW LETTERS 128 (23). doi:10.1103/physrevlett.128.231602.
- Vancouver
- 1.Vanhove R, Lootens L, Van Damme M, Wolf R, Osborne TJ, Haegeman J, et al. Critical lattice model for a Haagerup conformal field theory. PHYSICAL REVIEW LETTERS. 2022;128(23).
- IEEE
- [1]R. Vanhove et al., “Critical lattice model for a Haagerup conformal field theory,” PHYSICAL REVIEW LETTERS, vol. 128, no. 23, 2022.
@article{8759783,
abstract = {{We use the formalism of strange correlators to construct a critical classical lattice model in two dimensions with the Haagerup fusion category 7-13 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(7-13), 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.}},
articleno = {{231602}},
author = {{Vanhove, Robijn and Lootens, Laurens and Van Damme, Maarten and Wolf, Ramona and Osborne, Tobias J. and Haegeman, Jutho and Verstraete, Frank}},
issn = {{0031-9007}},
journal = {{PHYSICAL REVIEW LETTERS}},
keywords = {{General Physics and Astronomy,ENTANGLEMENT,CONSTRUCTION,SUBFACTORS,SYMMETRY,ENTROPY}},
language = {{eng}},
number = {{23}},
pages = {{6}},
title = {{Critical lattice model for a Haagerup conformal field theory}},
url = {{http://doi.org/10.1103/physrevlett.128.231602}},
volume = {{128}},
year = {{2022}},
}
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