Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary
Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary
复制标题
DOI：
--
复制
发表时间：
2013-08
期刊：
影响因子：
--
通讯作者：
K. Hori;Mauricio Romo
中科院分区：
文献类型：
--
作者：
K. Hori;Mauricio Romo
计算了一类含规范线性Sigma模型的二维(2，2)超对称场论在半球上的配分函数。这一结果为边界上D膜的中心电荷提供了一个普遍的精确公式。它采用Mellin-Barnes积分的形式，其收敛问题导致了关于相边界附近的膜的等级限制规则。我们在不同的阶段找到了表达式，包括大体积公式，其中出现了一个称为Gamma类的特征类。两个球的配分函数分解成两个半球体，通过与环空的逆序粘合在一起。结果也可以写成镜像对称性中常见的形式，并提出了一种找到膜之间显式镜像对应的方法。
We compute the partition function on the hemisphere of a class of twodimensional (2,2) supersymmetric field theories including gauged linear sigma models. The result provides a general exact formula for the central charge of the D-brane placed at the boundary. It takes the form of Mellin-Barnes integral and the question of its convergence leads to the grade restriction rule concerning branes near the phase boundaries. We find expressions in various phases including the large volume formula in which a characteristic class called the Gamma class shows up. The two sphere partition function factorizes into two hemispheres glued by inverse to the annulus. The result can also be written in a form familiar in mirror symmetry, and suggests a way to find explicit mirror correspondence between branes.