操演的动物园与对偶性
The Zoo of Opers and Dualities
AI总结：
本文研究了$SL(r+1)$-操演及其变形的空间，探讨了量子/经典对偶性在可积自旋链与多体系统之间的联系，并建立了操演空间的对应关系。
摘要：
我们研究了各种$SL(r+1)$-操演及其变形的空间。对于每种此类操演类型，我们研究量子/经典对偶性，它将量子可积自旋链与经典可解多体系统联系起来。在此背景下，量子/经典对偶性作为两种不同坐标系统在操演空间上的相互作用。我们还建立了底层操演空间之间的对应关系，这些关系近期在辛对偶性和双谱对偶性中出现了多种表现形式。
英文摘要：
We investigate various spaces of $SL(r+1)$-opers and their deformations. For each type of such opers, we study the quantum/classical duality, which relates quantum integrable spin chains with classical solvable many body systems. In this context, quantum/classical dualities serve as an interplay between two different coordinate systems on the space of opers. We also establish correspondences between the underlying oper spaces, which recently had multiple incarnations in symplectic duality and bispectral duality.
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。
