半球配分函数与锥状点的解析延拓
Hemisphere Partition Function and Analytic Continuation to the Conifold Point
摘要：
证明了具有D-膜的U（1）规范线性西格玛模型的半球配分函数与一组特殊的Mellin-Barnes积分有关，该积分可用于解析延拓到$h^{1,1}=1$ Calabi-Yau（CY）射影超曲面的Kähler模空间中的奇点.我们直接计算了几何D-膜基的全量子校正中心荷从大体积到奇点的解析延拓。在镜像语言中，这相当于计算镜像CY上的周期基到锥点的解析延拓。然而，所有的计算都是在GLSM中完成的，我们不必参考镜像CY。我们应用我们的方法明确的三次，四次和五次CY超曲面。
英文摘要：
We show that the hemisphere partition function for certain U(1) gauged linear sigma models (GLSMs) with D-branes is related to a particular set of Mellin-Barnes integrals which can be used for analytic continuation to the singular point in the Kähler moduli space of an $h^{1,1}=1$ Calabi-Yau (CY) projective hypersurface. We directly compute the analytic continuation of the full quantum corrected central charge of a basis of geometric D-branes from the large volume to the singular point. In the mirror language this amounts to compute the analytic continuation of a basis of periods on the mirror CY to the conifold point. However, all calculations are done in the GLSM and we do not have to refer to the mirror CY. We apply our methods explicitly to the cubic, quartic and quintic CY hypersurfaces.
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