论文标题
Virasoro代数引起的张量类别
Tensor Categories arising from the Virasoro Algebra
论文作者
论文摘要
我们表明，（通用或简单的）Virasoro Vertex Operator代数的$ C_1 $ -COFINITE模块的类别上有一个编织的张量类别结构。在中央电荷的通用情况下，$ c = 13-6（t+t^{ - 1}）$，带有$ t \ notin \ mathbb {q} $，我们证明了半透明性，刚性和非分数，还计算了该张量类别的融合规则。
We show that there is a braided tensor category structure on the category of $C_1$-cofinite modules for the (universal or simple) Virasoro vertex operator algebras of arbitrary central charge. In the generic case of central charge $c=13-6(t+t^{-1})$, with $t \notin \mathbb{Q}$, we prove semisimplicity, rigidity and non-degeneracy and also compute the fusion rules of this tensor category.
