Nuclear Physics B ( IF 2.5 ) Pub Date : 2020-09-15 , DOI: 10.1016/j.nuclphysb.2020.115168 Katsuyuki Sugiyama , Yutaka Yoshida
We study three dimensional supersymmetric theories on with 2d boundary conditions at the boundaries , where or . We introduce supersymmetric indices of three dimensional theories on that couple to elliptic genera of 2d theories at the two boundaries. We evaluate the indices in terms of supersymmetric localization and study dualities on the . We consider the dimensional reduction of to and obtain the localization formula of 2d supersymmetric indices on . We illustrate computations of open string Witten indices based on gauged linear sigma models. Correlation functions of Wilson loops on agree with Euler pairings in the geometric phase and also agree with cylinder amplitudes for B-type boundary states of Gepner models in the Landau-Ginzburg phase.
中文翻译:
I × T 2的超对称指数,椭圆族和带边界的对偶性
我们研究三维 关于超对称理论 与2d 边界条件 ,在哪里 要么 。我们引入三维超对称指数 关于的理论 那对夫妇的二维椭圆族 两个边界的理论。我们评估 关于超对称定位的指数和对偶的研究对偶 。我们考虑减少尺寸 至 并获得2d的本地化公式 上的超对称指数 。我们说明了基于规范线性西格玛模型的开放字符串维滕指数的计算。Wilson环上的相关函数 在几何阶段与Euler配对一致,并且在Landau-Ginzburg阶段与Gepner模型的B型边界状态的圆柱振幅一致。