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PreprintCC BY 4.0arXiv

Classification of Strongly Rational Vertex Operator Algebras with Central and Effective Central Charge One

  • Shun Xu
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Abstract

We classify the strongly rational vertex operator algebras whose central charge and effective central charge are both one. Every such algebra is isomorphic to one of VL,VL+,VA1A4,VA1S4,VA1A5, where L ranges over the positive-definite even lattices of rank one and A1=√2ℤ.

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Cite

BibTeXRIS
BibTeX
@misc{xu2026classification,
  title = {{Classification of Strongly Rational Vertex Operator Algebras with Central and Effective Central Charge One}},
  author = {Shun Xu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.29489},
  eprint = {2609.29489},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29489},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Classification of Strongly Rational Vertex Operator Algebras with Central and Effective Central Charge One
AU  - Shun Xu
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.29489
UR  - https://arxiv.org/abs/2609.29489
AB  - We classify the strongly rational vertex operator algebras whose central charge and effective central charge are both one. Every such algebra is isomorphic to one of V_L,V_L^+,V_A_1^A_4,V_A_1^S_4,V_A_1^A_5, where L ranges over the positive-definite even lattices of rank one and A_1=√2ℤ.
ER  -