111 citations · 311 across the 23 of their papers we have counts for
23 papers
Rationality of holomorphic vertex operator algebras
Masahiko Miyamoto
We prove that if V is a unitary simple holomorphic vertex operator algebra of CFT type, then V is rational, that is, all N-gradable V-modules are direct sums of copies of V.
A lattice theoretical interpretation of generalized deep holes of the Leech lattice vertex operator algebra
Ching Hung Lam, Masahiko Miyamoto
We give a lattice theoretical interpretation of generalized deep holes of the Leech lattice VOA . We show that a generalized deep hole defines a "true" automorphism invariant…
Associativity of fusion products of -cofinite -gradable modules of vertex operator algebra
Masahiko Miyamoto
We prove an associative law of the fusion products of -cofinite -gradable modules for a vertex operator algebra . To be more precise, for -cof…
Orbifold construction and Lorentzian construction of Leech lattice vertex operator algebra
Naoki Chigira, Ching Hung Lam, Masahiko Miyamoto
We generalize Conway-Sloane's constructions of the Leech lattice from Niemeier lattices using Lorentzian lattice to holomorphic vertex operator algebras (VOA) of central charge 24.…
-cofiniteness of orbifold models for finite groups
Masahiko Miyamoto
We prove that if is a -cofinite simple vertex operator algebra of CFT-type with a nonsingular invariant bilinear form and its an automorphism group is finite, then an…
Regularity of fixed-point vertex operator subalgebras
Scott Carnahan, Masahiko Miyamoto
We show that if is a simple non-negatively graded regular vertex operator algebra with a nonsingular invariant bilinear form and is a finite order automorphism of , then…