Connecting mirror symmetry in 3D and 2D via localization
Connecting mirror symmetry in 3D and 2D via localization
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通过定位连接 3D 和 2D 中的镜像对称
DOI：
10.1142/s0217751x15300045
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发表时间：
2013
影响因子：
1.6
通讯作者：
J. Ho
中科院分区：
文献类型：
--
作者：
Heng;Hsiao;J. Ho
我们明确地应用定位结果来研究具有四个增压的阿贝尔规范理论的三维和二维镜像对称之间的插值。我们首先使用椭球配分函数来验证一对一般三维 ? 之间的镜像对称性。 = 2 个阿贝尔陈-西蒙斯颤动规范理论。这些表达式很容易分解为全纯块及其反全纯副本，因此我们还可以通过融合过程获得 S1×S2 上的配分函数。然后我们证明三维阿贝尔规范理论的 S1×S2 配分函数可以降维为 ? 的 S2 配分函数。 = (2, 2) 相应二维镜对的 GLSM 和 Landau-Ginzburg 模型，如 M. Aganagic 等人先前在 J. High Energy Phys.0107, 022 (2001) 中所预期的那样。我们还评论了非阿贝尔规范理论的类似插值，并计算了简单极限的 K 理论涡旋配分函数，以验证全纯块的预测。
We explicitly apply localization results to study the interpolation between three- and two-dimensional mirror symmetries for Abelian gauge theories with four supercharges. We first use the ellipsoid partition functions to verify the mirror symmetry between a pair of general three-dimensional ? = 2 Abelian Chern–Simons quiver gauge theories. These expressions readily factorize into holomorphic blocks and their antiholomorphic copies, so we can also obtain the partition functions on S1×S2 via fusion procedure. We then demonstrate S1×S2 partition functions for the three-dimensional Abelian gauge theories can be dimensionally reduced to the S2 partition functions of ? = (2, 2) GLSM and Landau–Ginzburg model for the corresponding two-dimensional mirror pair, as anticipated previously in M. Aganagic et al., J. High Energy Phys.0107, 022 (2001). We also comment on the analogous interpolation for the non-Abelian gauge theories and compute the K-theory vortex partition function for a simple limit to verify the prediction from holomorphic block.
影响因子：
5.4
作者：
J. Gomis;Sungjay Lee
通讯作者：
J. Gomis;Sungjay Lee