Orbifold Construction Confirms Baby-Monster VOA Automorphism Group as 2 × B — E8 Intelligence Research
Description
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 \(2 \times B\). | MATH: Baby-monster VOA \(V^{2A}\) (Hoehn) has full automorphism group \(\mathrm{Aut}(V^{2A}) \cong 2 \times B\), 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 \(\Lambda_{24}\) (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