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math.AG2026
q-Opers and Quantum/Classical Duality Beyond Type A
Peter Koroteev, Myungbo Shim, Rahul Singh
Using the language of q-opers, we propose an algebro-geometric description of the duality between Bethe Ansatz equations for quantum XXZ spin chains and many-body trigonometric Rui…
math.AG2025
q-Opers and Bethe Ansatz for Open Spin Chains I
Peter Koroteev, Myungbo Shim, Rahul Singh
In in a nutshell, the classical geometric -Langlands duality can be viewed as a correspondence between the space of -opers and the space of solutions of …
math.AG2025
-systems and tropical geometry
Rahul Singh, Anton M. Zeitlin
We investigate the system of polynomial equations, known as -systems, which are closely related to the so-called Bethe ansatz equations of the XXZ spin chain, using the methods…