标题： 共形场论中的开放后代 显示英文标题

标题： Open Descendants in Conformal Field Theory

摘要： 开放的后代将共形场论扩展到具有边界的非定向曲面。 该构造基于融合代数的两种类型推广。 即使在相对简单的对角模型情况下，第一种也是必需的。 它导致一个新的张量，满足融合代数，但其条目为带符号的整数。 当处理非对角模型时需要第二种，此时Cardy的假设不适用。 它导致一个具有正整数条目的新张量，满足一组多项式方程，并编码允许边界算符的分类。 显示英文摘要

摘要： Open descendants extend Conformal Field Theory to unoriented surfaces with boundaries. The construction rests on two types of generalizations of the fusion algebra. The first is needed even in the relatively simple case of diagonal models. It leads to a new tensor that satisfies the fusion algebra, but whose entries are signed integers. The second is needed when dealing with non-diagonal models, where Cardy's ansatz does not apply. It leads to a new tensor with positive integer entries, that satisfies a set of polynomial equations and encodes the classification of the allowed boundary operators.