论文标题
操作和二元性动物园
The Zoo of Opers and Dualities
论文作者
论文摘要
我们研究了$ sl（r+1）$ - 运算及其变形的各个空间。对于每种类型的操作器，我们研究量子/经典二元性，将量子整合旋转链与经典可溶解的许多身体系统联系起来。在这种情况下，量子/经典二元性是OPERS空间上两个不同坐标系之间的相互作用。我们还建立了基础操作空间之间的对应关系，该空间最近具有符号双重性和双光谱双重性的多个化身。
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.
