标题： 环面扭结和镜像对称 显示英文标题

标题： Torus knots and mirror symmetry

摘要： 我们提出了一条谱曲线，用于描述B模型中的环面纽结和链环。特别是，将拓扑递归应用于该曲线可生成它们的所有着色HOMFLY不变量。该曲线是通过利用解析圆锥谱曲线的完整Sl(2, Z)对称性得到的，应被视为在大N Gopakumar-Vafa对偶性中与环面纽结相关的拓扑D膜的镜像。此外，我们将该曲线作为计算环面纽结不变量的矩阵模型的大N极限推导出来。 显示英文摘要

摘要： We propose a spectral curve describing torus knots and links in the B-model. In particular, the application of the topological recursion to this curve generates all their colored HOMFLY invariants. The curve is obtained by exploiting the full Sl(2, Z) symmetry of the spectral curve of the resolved conifold, and should be regarded as the mirror of the topological D-brane associated to torus knots in the large N Gopakumar-Vafa duality. Moreover, we derive the curve as the large N limit of the matrix model computing torus knot invariants.