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

  • Masahiko Miyamoto
Conference paper

DOI: 10.1007/978-1-4471-4863-0_13

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 40)
Cite this paper as:
Miyamoto M. (2013) A ℤ3-Orbifold Theory of Lattice Vertex Operator Algebra and ℤ3-Orbifold Constructions. In: Iohara K., Morier-Genoud S., Rémy B. (eds) Symmetries, Integrable Systems and Representations. Springer Proceedings in Mathematics & Statistics, vol 40. Springer, London

Abstract

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).

Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

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

Personalised recommendations