Exact Kähler potential from gauge theory and mirror symmetry
Exact Kähler potential from gauge theory and mirror symmetry
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DOI：
10.1007/jhep04(2013)019
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发表时间：
2012-10
影响因子：
5.4
通讯作者：
J. Gomis;Sungjay Lee
中科院分区：
文献类型：
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作者：
J. Gomis;Sungjay Lee
我们证明了一个最近的猜想，即在两球上的=(2,2)规范理论的配分函数流到红外的Calabi-Yau sigma模型上，可以精确地计算相应Calabi-Yau量子Kähler模空间上的Kähler势。建立了双球配分函数作为计算世界表实例和Gromov-Witten不变量的一种新方法。我们还计算了具有任意扭曲超势w的=(2,2)Landau-Ginzburg模型的精确两球配分函数。这些结果证明了任意阿贝尔规范理论及其镜像Landau-Ginzburg模型具有相同的两球配分函数。进一步证明了非阿贝尔规范理论的配分函数可以改写为镜像Landau-Ginzburg模型的配分函数。
We prove a recent conjecture that the partition function of=(2, 2) gauge theories on the two-sphere which flow to Calabi-Yau sigma models in the infrared computes the exact Kähler potential on the quantum Kähler moduli space of the corresponding Calabi-Yau. This establishes the two-sphere partition function as a new method of computation of worldsheet instantons and Gromov-Witten invariants. We also calculate the exact two-sphere partition function for=(2, 2) Landau-Ginzburg models with an arbitrary twisted superpotential W. These results are used to demonstrate that arbitrary abelian gauge theories and their associated mirror Landau-Ginzburg models have identical two-sphere partition functions. We further show that the partition function of non-abelian gauge theories can be rewritten as the partition function of mirror Landau-Ginzburg models.