A ℤ3-Orbifold Theory of Lattice Vertex Operator Algebra and ℤ3-Orbifold Constructions

  • Masahiko Miyamoto
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 40)


For an even positive definite lattice L and its automorphism σ of order 3, we prove that a fixed point subVOA \(V_{L}^{\sigma}\) of a lattice VOA VL is C2-cofinite. Using this result and the results in arXiv:0909.3665, we present ℤ3-orbifold constructions of holomorphic VOAs from lattice VOAs VΛ, where Λ are even unimodular positive definite lattices. One of them has the same character with the moonshine VOA V and another is a new VOA corresponding to No. 32 in Schellekens’ list (Theor. Mat. Fiz. 95(2), 348–360, 1993).


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© Springer-Verlag London 2013

Authors and Affiliations

  • Masahiko Miyamoto
    • 1
  1. 1.Institute of MathematicsUniversity of TsukubaTsukubaJapan

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