A new construction of the moonshine vertex operator algebra over the real number field

1997/01/13 by Masahiko Miyamoto, Miyamoto, Masahiko
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.q-alg/9701012

Abstract

We give a new construction of the moonshine VOA V^\natural over the real number field. We proved that V^\natural has a positive definite invariant bilinear form and its full automorphism group is the Monster simple group. We also construct an infinite series of meromorphic VOAs whose full automorphism groups are finite. We calculate the trace form on V^\natural for some element of the Monster.

Related

• A new existence proof of the Monster by VOA theory
• Lifts of automorphisms of vertex operator algebras in simple current extensions
• Vertex operator algebra with two Miyamoto involutions generating S₃
• On the uniqueness of the moonshine vertex operator algebra
• A characterization of the moonshine vertex operator algebra by means of Virasoro frames