论文标题

热带镜子

Tropical Mirror

论文作者

Losev, Andrey, Lysov, Vyacheslav

论文摘要

我们描述了感谢您的品种的热带曲线,并定义了热带格罗莫夫的不变性。我们在特殊树上引入了较高拓扑量子力学(HTQM)的幅度,并表明振幅等于热带Gromov-Witten不变性。我们表明,$ A $ -MOMODEL HTQM中振幅的总和等于B模型HTQM中的总振幅,该振幅定义为Mirror SuperPotitional的$ A $ -MMODEL HTQM的变形。我们得出了摩ric品种的镜像超电球,并表明它们与镜像Landau-Ginzburg理论中的超电势相吻合。我们在热带格罗莫夫(Gromov-Witten)理论中构建了镜子双状态,以评估可观察到。

We describe the tropical curves in toric varieties and define the tropical Gromov-Witten invariants. We introduce amplitudes for the higher topological quantum mechanics (HTQM) on special trees and show that the amplitudes are equal to the tropical Gromov-Witten invariants. We show that the sum over the amplitudes in $A$-model HTQM equals the total amplitude in B-model HTQM, defined as a deformation of the $A$-model HTQM by the mirror superpotential. We derived the mirror superpotentials for the toric varieties and showed that they coincide with the superpotentials in the mirror Landau-Ginzburg theory. We construct the mirror dual states to the evaluation observables in the tropical Gromov-Witten theory.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源