杂合Monster中的虚反射和离散对称性
Imaginary reflections and discrete symmetries in the heterotic Monster
摘要：
设$\mathbb{M}$是Monster有限单群。我们给出了一个家庭的杂种弦紧化$1 + 1$尺寸的离散对称性的怪物李代数$\frak m$，更一般的卡纳汉的家庭的Monclerk李代数$\frak m_g$，为$g\in\mathbb{M}$的PRACKE型的离散对称性的解释。我们涉及一个Weyl群类型的反射$w_{\im}$，相对于一个虚的简单的根，组成的T-对偶，时间反转，宇称反转变换的紧杂弦。变换$w_{\im}$对紧化杂种弦的BPS态也有自然置换作用。
英文摘要：
Let $\mathbb{M}$ be the Monster finite simple group. We give an interpretation of certain discrete symmetries of a family of heterotic string compactifications to $1 + 1$ dimensions in terms of discrete symmetries of the Monster Lie algebra $\frak m$, and more generally Carnahan's family of Monstrous Lie algebras $\frak m_g$, for $g\in\mathbb{M}$ of Fricke type. We relate a Weyl group-type reflection $w_{\im}$, with respect to an imaginary simple root, to a composition of T-duality, time reversal, and parity reversal transformations in the compactified heterotic string. The transformation $w_{\im}$ also has a natural permutation action on the BPS states of the compactified heterotic string.
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