准晶轨道流形背景上的D膜与定向流形
D-branes and orientifolds on quasicrystalline orbifold backgrounds
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中文总结 AI 辅助
本研究构造了六维IIB型准晶轨道流形的定向流形后裔，通过计算振幅和消除蝌蚪得到满足反常约束的真空，并构建了Brane超对称破缺及五维定向流形，证明准晶背景可支持受控开弦完备化。
中文摘要 AI 辅助
我们构造并分析了六维IIB型$\mathbb Z_{12}$准晶轨道流形的定向流形后裔。母背景由Narain格自同构定义，该自同构在几何环面上不是晶体学的。我们确定了闭弦谱和扭曲扇区轨道结构，构造了相容的非定向投影，并计算了Klein瓶、环面和Möbius带振幅。蝌蚪消除选择了边界轨道，这些轨道允许部分T对偶描述为成角度的D7膜，并固定了Chan-Paton规范群和无质量谱。所得超对称六维真空满足不可约反常约束，其可约反常多项式通过Green-Schwarz机制分解，其反常格满足Kim-Shiu-Vafa弦探针界。我们还构造了一个具有微扰无快子刚性分支的Brane超对称破缺后裔，以及一个自由作用的五维定向流形，其两个解紧化极限分别重现几何IIA型$\mathbb Z_3$定向流形和反对称IIB型$\mathbb Z_4$定向流形。这些例子表明，准晶闭弦背景可以允许具有非平凡边界和交叉帽扇区的受控微扰开弦完备化。
英文摘要
We construct and analyse orientifold descendants of a six-dimensional type IIB $\mathbb Z_{12}$ quasicrystalline orbifold. The parent background is defined by a Narain-lattice automorphism that is not crystallographic on the geometric torus. We determine the closed-string spectrum and twisted-sector orbit structure, construct a compatible unoriented projection, and compute the Klein bottle, annulus and Möbius strip amplitudes. Tadpole cancellation selects boundary orbits that admit a partially T-dual description as D7-branes at angles and fixes the Chan-Paton gauge group and massless spectrum. The resulting supersymmetric six-dimensional vacuum satisfies the irreducible anomaly constraints, its reducible anomaly polynomial factorizes through the Green-Schwarz mechanism, and its anomaly lattice obeys the Kim-Shiu-Vafa string-probe bound. We also construct a Brane Supersymmetry Breaking descendant with a perturbatively tachyon-free rigid branch, and a freely acting five-dimensional orientifold whose two decompactification limits reproduce a geometric type IIA $\mathbb Z_3$ orientifold and an antisymmetric type IIB $\mathbb Z_4$ orientifold. These examples show that quasicrystalline closed-string backgrounds can admit controlled perturbative open-string completions with non-trivial boundary and crosscap sectors.
发表机构
- CPHT, CNRS, École polytechnique, Institut Polytechnique de Paris（CPHT、CNRS、巴黎综合理工学院、巴黎理工学院）
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