标题： 非幺正的Wightman共形场论和非幺正顶点代数 显示英文标题

标题： Non-unitary Wightman CFTs and non-unitary vertex algebras

摘要： 我们给出了以下两个范畴之间的等价关系：(i) 配备了拟素向量生成族的Möbius顶点代数，以及 (ii) 单位圆上的（非必然单位性的）Möbius协变Wightman共形场论。 我们不对所考虑的理论施加任何技术限制（如有限维的共形权重空间或简单性），从而得到了这两种对二维单侧共形场理论的公理化描述之间的最一般等价关系。 这为使用代数共形场论和算子代数的视角来研究非单位性顶点代数提供了新的机会，我们通过建立非单位性的Reeh-Schlieder定理来证明这一点。 显示英文摘要

摘要： We give an equivalence of categories between: (i) M\"obius vertex algebras which are equipped with a choice of generating family of quasiprimary vectors, and (ii) (not-necessarily-unitary) M\"obius-covariant Wightman conformal field theories on the unit circle. We do not impose any technical restrictions on the theories considered (such as finite-dimensional conformal weight spaces or simplicity), yielding the most general equivalence between these two axiomatizations of two-dimensional chiral conformal field theory. This provides new opportunities to study non-unitary vertex algebras using the lens of algebraic conformal field theory and operator algebras, which we demonstrate by establishing a non-unitary version of the Reeh-Schlieder theorem.