关于Hitchin系统等变镜像对称性的初步提议
A tentative proposal towards an equivariant mirror symmetry for Hitchin systems
AI总结：
本文提出将Aganagic的等变镜像对称性扩展到Hitchin系统，主张其应为带有扭曲质量的Landau-Ginzburg模型，并探讨加法与乘法种群的二元性在Hitchin系统中的应用。
摘要：
受Aganagic针对某些Coulomb分支的3d 𝒩=4 gauge quiver理论的等变镜像对称性启发，我们希望提出一套想法，将Aganagic的提议扩展到Hitchin系统。最后，我们的提议有两个主要观点；即Hitchin系统的等变镜像应是一个带有扭曲质量的Landau-Ginzburg模型，并且在Nakajima quiver varieties的镜像对称性背景下，加法与乘法种群的二元性应在Hitchin系统的情况下加以考虑。
英文摘要：
Motivated by Aganagic's equivariant mirror symmetry for certain Coulomb branches of a $3d$ $\mathcal{N}= 4$ gauge quiver theory, we would like to propose a set of ideas towards an extension of Aganagic's proposal to Hitchin systems. At the end, there are two main points in our proposal; namely, that the equivariant mirror of the Hitchin systems should be a Landau-Ginzburg model (with twisted masses) and that the dichotomy between additive and multiplicative varieties in the context of mirror symmetry for Nakajima quiver varieties should be considered in the case of Hitchin systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
