Orbifold Construction Confirms Baby-Monster VOA Automorphism Group as 2 × B — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Search results are dominated by irrelevant commercial content; only one substantive mathematical source (arXiv) directly addresses the Monster VOA orbifold construction, confirming the baby-monster VOA automorphism group is 2 × B. | MATH: Baby-monster VOA V2A (Hoehn) has full automorphism group Aut(V2A) ≅ 2 × B, where B is the baby-monster sporadic group. Central charge c=24 for the parent Monster VOA Vnatural; the 2A-orbifold yields a superalgebra with c=24 (bosonic) / c=12 (fermionic sector). | CONNECTION: The 2A involution in the Monster fixes a sublattice related to the Leech lattice Λ24 (root system A124 structure). The orbifold twist by 2A preserves the E83 / E8 triality frame — the triality symmetry S3 acts on the three E8 factors, and the orbifold fixed-point lattice has determinant 224, linking to the binary Golay code and the extended Hamming code [24,12,8]
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026orbifold,
title = {{Orbifold Construction Confirms Baby-Monster VOA Automorphism Group as 2 × B — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23554036},
url = {https://zenodo.org/records/23554036},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Orbifold Construction Confirms Baby-Monster VOA Automorphism Group as 2 × B — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23554036
UR - https://zenodo.org/records/23554036
AB - FINDING: Search results are dominated by irrelevant commercial content; only one substantive mathematical source (arXiv) directly addresses the Monster VOA orbifold construction, confirming the baby-monster VOA automorphism group is 2 × B. | MATH: Baby-monster VOA V^2A (Hoehn) has full automorphism group Aut(V^2A) ≅ 2 × B, where B is the baby-monster sporadic group. Central charge c=24 for the parent Monster VOA V^natural; the 2A-orbifold yields a superalgebra with c=24 (bosonic) / c=12 (fermionic sector). | CONNECTION: The 2A involution in the Monster fixes a sublattice related to the Leech lattice Λ_24 (root system A_1^24 structure). The orbifold twist by 2A preserves the E_8^3 / E_8 triality frame — the triality symmetry S_3 acts on the three E_8 factors, and the orbifold fixed-point lattice has determinant 2^24, linking to the binary Golay code and the extended Hamming code [24,12,8] Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -