PreprintCC BY 4.0arXiv
A vertex operator algebra for the S-fold realisation of a non-unitary Haagerup--Izumi modular fusion category
Abstract
We show that there exists a strongly rational vertex operator algebra V11, proposed by Flohr, whose representation theory Rep V11≃Sem⊗𝒵(σ2ℱ) as braided categories. Here Sem is the semion category (with the spherical structure in which its generator has dimension −1), ℱ is Ostrik's twisted Haagerup category and σ2 is the Galois automorphism ζ117↦ζ1172.
Related
- Vertex operator algebra realizations of untwisted Haagerup--Izumi centers
- On the Haagerup Vertex Operator Algebras
- Haagerup vertex operator algebras at central charge eight
- The tensor category for W(2,2)-vertex algebra
- Persistence of Unitary Almost Mathieu Operator Gaps Ten Dry Martinis, Five on the Rim
BibTeX
@misc{evans2026vertex,
title = {{A vertex operator algebra for the S-fold realisation of a non-unitary Haagerup--Izumi modular fusion category}},
author = {David E Evans},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26341},
eprint = {2610.26341},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.26341},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A vertex operator algebra for the S-fold realisation of a non-unitary Haagerup--Izumi modular fusion category
AU - David E Evans
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.26341
UR - https://arxiv.org/abs/2610.26341
AB - We show that there exists a strongly rational vertex operator algebra V_11, proposed by Flohr, whose representation theory Rep V_11≃Sem⊗𝒵(σ_2ℱ) as braided categories. Here Sem is the semion category (with the spherical structure in which its generator has dimension −1), ℱ is Ostrik's twisted Haagerup category and σ_2 is the Galois automorphism ζ_117↦ζ_117^2.
ER -