论文标题

虚构的反射和离散对称性在杂怪中

Imaginary reflections and discrete symmetries in the heterotic Monster

论文作者

Carbone, Lisa, Paquette, Natalie M.

论文摘要

令$ \ mathbb {m} $为怪物有限的简单组。 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.我们将Weyl组类型的反射$ W _ {\ im} $相关,就假想的简单根而言,与压实异源词的T偶数,时间逆转和奇偶校验反转转换的组成。转换$ w _ {\ im} $在压实异质弦的BPS状态上也具有自然的排列动作。

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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