IIB型对偶流形
A Type IIB Dualifold
- Jefferson Physical Laboratory, Harvard University（哈佛大学杰斐逊物理实验室）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文提出在强耦合不动点处由Z3对偶对称性轨道折叠的十维IIB型弦理论是自洽的，具有离散规范对称性，并通过拓扑Green-Schwarz机制消除反常。
AI中文摘要：
我们提出证据表明，在强耦合不动点 $\tau=\exp(2\pi i/3)$ 处，由 $\mathbb{Z}_3$ 对偶对称性进行轨道折叠的十维IIB型弦理论定义了一个自洽的理论。受其F理论对偶描述及其与九维M理论和八维IIA型弦理论的对偶性的启发，我们认为所得理论是一个具有离散规范对称性的十维手征非超对称理论，其玻色子商是Narain格 $\Gamma^{2,2}(A_2)$ 的自同构群（$S_3 \times S_3 \times \mathbb{Z}_2$）。我们进一步将十维快子场与相应的Narain模量对应起来。规范反常通过一个涉及 $\mathbb{Z}_3$ 值二形式规范对称性的拓扑Green-Schwarz机制非平凡地抵消：这是八维IIA型描述中熟悉的零形式轨道折叠量子对称性的十维提升。
英文摘要：
We present evidence that ten-dimensional type IIB string theory orbifolded by the $\mathbb{Z}_3$ duality symmetry at the strong-coupling fixed point $τ=\exp(2πi/3)$ defines a consistent theory. Motivated by its F-theory dual description and its duality with M-theory in nine dimensions and type IIA string theory in eight dimensions, we argue that the resulting theory is a ten-dimensional chiral non-supersymmetric theory with a discrete gauge symmetry whose bosonic quotient is the automorphism group of the Narain lattice $Γ^{2,2}(A_2)$ ($S_3 \times S_3 \times \mathbb{Z}_2$). We further identify the ten-dimensional tachyon fields with the corresponding Narain moduli. Gauge anomalies cancel nontrivially through a topological Green-Schwarz mechanism involving a $\mathbb{Z}_3$-valued two-form gauge symmetry: the ten-dimensional lift of the familiar zero-form orbifold quantum symmetry in the eight-dimensional type IIA description.
