带范畴与（无向）CFT：Frobenius代数，自同构，反转
Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions
摘要：
在手征CFT的模张量范畴中的对称特殊Frobenius代数A的Morita类确定定向世界片上的完全CFT。对于无定向的世界片，A还必须具有一个逆，即从A^opp到A的一个与扭曲平方的同构。一个代数A的任何两个反演相差A的代数自同构群Aut（A）的一个元素。我们建立了从Aut（A）到双模范畴C_AA的Picard群的群同态，其核由内自同构构成，并将Morita等价精化为具有反转的代数之间的等价关系.
英文摘要：
A Morita class of symmetric special Frobenius algebras A in the modular tensor category of a chiral CFT determines a full CFT on oriented world sheets. For unoriented world sheets, A must in addition possess a reversion, i.e. an isomorphism from A^opp to A squaring to the twist. Any two reversions of an algebra A differ by an element of the group Aut(A) of algebra automorphisms of A. We establish a group homomorphism from Aut(A) to the Picard group of the bimodule category C_AA, with kernel consisting of the inner automorphisms, and we refine Morita equivalence to an equivalence relation between algebras with reversion.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
