论文标题
所有属的开放后代潜力的结构
A construction of open descendant potentials in all genera
论文作者
论文摘要
我们通过Givental的行动的“开放版本”展示了总后代和总祖先潜力的开放类似物的结构。我们的构造为满足半透明条件并接纳单位的开放WDVV方程的任意解决方案提供了一个属的扩展。我们表明，我们定义的开放总后代电位满足了0和1属的开放拓扑递归关系，即开放的弦和开放式dilaton方程。我们使用我们的结构对属1中最简单的非平凡开放相关器的计算来完成论文。
We present a construction of an open analogue of total descendant and total ancestor potentials via an "open version" of Givental's action. Our construction gives a genus expansion for an arbitrary solution to the open WDVV equations satisfying a semisimplicity condition and admitting a unit. We show that the open total descendant potentials we define satisfy the open topological recursion relations in genus 0 and 1, the open string and open dilaton equations. We finish the paper with a computation of the simplest nontrivial open correlator in genus 1 using our construction.
