论文标题
全体形态顶点操作员中央电荷代数的单一表格$ 24 $
Unitary forms for holomorphic vertex operator algebras of central charge $24$
论文作者
论文摘要
我们证明，所有中央电荷的全体形态顶点操作员代数$ 24 $，非平凡的重量一个子空间都是统一的。主要方法是直接从niemeier lattice voa $ v_n $中直接使用Orbifold构造中央费用$ 24 $。我们表明，可以使用Orbifold构造以及自动形态组$ \ Mathrm {aut}（v）$的一些信息，可以将晶格VOA $ V_N $的单一形式扩展到Holomorthic VOA $ V $。
We prove that all holomorphic vertex operator algebras of central charge $24$ with non-trivial weight one subspaces are unitary. The main method is to use the orbifold construction of a holomorphic VOA $V$ of central charge $24$ directly from a Niemeier lattice VOA $V_N$. We show that it is possible to extend the unitary form for the lattice VOA $V_N$ to the holomorphic VOA $V$ by using the orbifold construction and some information of the automorphism group $\mathrm{Aut}(V)$.
