Conformal field theories associated to regular chiral vertex operator algebras, I: Theories over the projective line
Conformal field theories associated to regular chiral vertex operator algebras, I: Theories over the projective line
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DOI：
10.1215/s0012-7094-04-12831-3
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发表时间：
2002-06
影响因子：
2.5
通讯作者：
K. Nagatomo;A. Tsuchiya
中科院分区：
文献类型：
--
作者：
K. Nagatomo;A. Tsuchiya
基于任一满足有限条件、零模代数的半单性以及诱导模的正则性的手征顶点算子代数，我们构造了射影直线上的共形场论，其中手征顶点算子代数是该理论的对称性.我们适当地推广了[TUY]中的论点，以便我们能够定义手征顶点算子代数的共形块层，并对它们进行详细的研究。在相当一般的条件下，证明了手征顶点算子代数和零模代数的因式分解定理。
Based on any chiral vertex operator algebra satisfying a suitable finiteness condition, the semisimplicity of the zero-mode algebra as well as a regularity for induced modules, we construct conformal field theory over the projective line with the chiral vertex operator algebra as symmetries of the theory. We appropriately generalize the argument in [TUY] so that we are able to define sheaves of conformal blocks for chiral vertex operator algebras and study them in detail. We prove the factorization theorem under the fairly general conditions for chiral vertex operator algebras and the zero-mode algebras.