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PreprintCC BY 4.0arXiv

C2-Cofiniteness and Rationality of the Icosahedral Orbifold VL2A5

  • Shun Xu
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Abstract

Let L2=ℤα be the rank-one root lattice with (α,α)=2, and let A5 act on the lattice vertex operator algebra VL2 through an icosahedral subgroup of Aut(VL2)≅ PSL2(ℂ). We prove that the fixed-point vertex operator algebra VL2A5 is strongly rational.

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Cite

BibTeXRIS
BibTeX
@misc{xu2026c2cofiniteness,
  title = {{$C_2$-Cofiniteness and Rationality of the Icosahedral Orbifold $V_L_2^A_5$}},
  author = {Shun Xu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.13872},
  eprint = {2608.13872},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.13872},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - C_2-Cofiniteness and Rationality of the Icosahedral Orbifold V_L_2^A_5
AU  - Shun Xu
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2608.13872
UR  - https://arxiv.org/abs/2608.13872
AB  - Let L_2=ℤα be the rank-one root lattice with (α,α)=2, and let A_5 act on the lattice vertex operator algebra V_L_2 through an icosahedral subgroup of Aut(V_L_2)≅ PSL_2(ℂ). We prove that the fixed-point vertex operator algebra V_L_2^A_5 is strongly rational.
ER  -