The Zoo of Opers and Dualities
arXiv:2208.08031 · doi:10.1093/imrn/rnad270
Abstract
We investigate various spaces of -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.
arXiv commentv2: 31 pages, typos corrected, references added, to appear in IMRN
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