顶点算子代数的平坦性与半刚性
Flatness and Semi-Rigidity of Vertex Operator Algebras
摘要：
在顶点算子代数理论中，大多数一般定理都是在有理性和C_2-有限性的假设下证明的。本文在不作合理性假设的情况下，得到了几个一般性定理，从而可以用来证明给定的C_2-余有限顶点算子代数的合理性。例如，我们将它们应用于轨道模型，证明了如果g是一个具有T' \cong T的C_2-上有限有理顶点算子代数T的有限自同构，且一个不动点子VOA T^g是C_2-上有限的，则T^g也是有理的.
英文摘要：
In vertex operator algebra theories, most of the general theorems are proved under the assumptions of rationality and C_2-cofiniteness. In this paper, we obtain several general theorems without the assumption of rationality so that we can use them for proving rationality of given C_2-cofinite vertex operator algebras. For example, we apply them to orbifold models and show that if g is a finite automorphism of a rational C_2-cofinite vertex operator algebra T of CFT-type with T'\cong T and a fixed point subVOA T^g is C_2-cofinite, then T^g is also rational.
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