Non-compact Gepner models, Landau-Ginzburg orbifolds and mirror symmetry
Non-compact Gepner models, Landau-Ginzburg orbifolds and mirror symmetry
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非紧格普纳模型、Landau-Ginzburg 轨道折叠和镜像对称
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
J. Troost
中科院分区：
文献类型：
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作者：
S. Ashok;R. Benichou;J. Troost
我们研究了II型弦理论中保留16或8个超荷的非紧化Gepner模型。特别是，我们开发了一种类似于紧凑格普纳模型的朗道-金兹堡公式的轨道朗道-金兹堡描述这些模型。朗道-金兹堡描述提供了一个简单和直接的访问奇点的几何相关的非紧格普纳模型。使用这些工具，我们能够直观地描述模型的手性环，特别是无质量模。通过研究奇异线性膨胀模型的轨道，我们在非紧化Gepner模型中适当地采用了紧化情况下镜像对的green - plesser构造来描述镜像对。对于特定的模型，我们取一个大水平，低曲率极限，在这个极限中我们可以分析非紧化Gepner模型的平面空间轨道近似的修正。这就产生了模的计数，它与环面计数有微妙的不同。
We study non-compact Gepner models that preserve sixteen or eight supercharges in type II string theories. In particular, we develop an orbifolded Landau-Ginzburg description of these models analogous to the Landau-Ginzburg formulation of compact Gepner models. The Landau-Ginzburg description provides an easy and direct access to the geometry of the singularity associated to the non-compact Gepner models. Using these tools, we are able to give an intuitive account of the chiral rings of the models, and of the massless moduli in particular. By studying orbifolds of the singular linear dilaton models, we describe mirror pairs of non-compact Gepner models by suitably adapting the Greene-Plesser construction of mirror pairs for the compact case. For particular models, we take a large level, low curvature limit in which we can analyze corrections to a flat space orbifold approximation of the non-compact Gepner models. This gives rise to a counting of moduli which differs from the toric counting in a subtle way.