GLSMs for gerbes (and other toric stacks)
GLSMs for gerbes (and other toric stacks)
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用于非洲菊（和其他复曲面堆栈）的 GLSM
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
E. Sharpe
中科院分区：
文献类型：
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作者：
T. Pantev;E. Sharpe
在这篇文章中，我们将讨论环形堆栈的规范线性西格玛模型描述。环面堆叠有一个简单的描述，就是齐次坐标的(辛，git)C×商，其形式与环面簇完全相同。我们描述了形式上与环形堆栈的数学描述相一致的规范线性西格玛模型的物理描述，并检查了这些规范线性西格玛模型的物理预测是否与相应的堆栈完全匹配。我们还在示例中看到，当给定的环状堆栈具有可作为测量线性西格玛模型访问的形式的多个表示时，这些不同表示的IR物理匹配，因此IR物理是独立于表示的，这使得将CFT关联到堆栈而不仅仅是堆栈的表示是合理的。我们讨论了堆栈的镜面对称性，用Morison-Plesser-Hori-Vafa方法显式地计算了镜面，并发现了Batyrev镜面猜想的一个自然推广。在研究镜像对称性的过程中，我们发现了一些新的抽象CFT，涉及到单位根取值的场。
In this paper, we will discuss gauged linear sigma model descriptions of toric stacks. Toric stacks have a simple description in terms of (symplectic, GIT) C × quotients of homogeneous coordinates, in exactly the same form as toric varieties. We describe the physics of the gauged linear sigma models that formally coincide with the mathematical description of toric stacks and check that physical predictions of those gauged linear sigma models exactly match the corresponding stacks. We also see in examples that when a given toric stack has multiple presentations in a form accessible as a gauged linear sigma model, that the IR physics of those different presentations matches, so that the IR physics is presentation-independent, making it reasonable to associate CFTs to stacks, not just presentations of stacks. We discuss mirror symmetry for stacks, using Morrison– Plesser–Hori–Vafa techniques to compute mirrors explicitly, and also find a natural generalization of Batyrev’s mirror conjecture. In the process of studying mirror symmetry, we find some new abstract CFTs, involving fields valued in roots of unity.