144 citations · 960 across the 38 of their papers we have counts for
38 papers
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…
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 …
Quantum Geometry, Integrability, and Opers
Peter Koroteev
This review article discusses recent progress in understanding of various families of integrable models in terms of algebraic geometry, representation theory, and physics. In parti…
The Zoo of Opers and Dualities
Peter Koroteev, Anton M. Zeitlin
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…
Branes and DAHA Representations
Sergei Gukov, Peter Koroteev, Satoshi Nawata +2
Using brane quantization, we study the representation theory of the spherical double affine Hecke algebra of type in terms of the topological A-model on the moduli space of f…
Double Inozemtsev Limits of the Quantum DELL System
Alexander Gorsky, Peter Koroteev, Olesya Koroteeva +1
In this letter we study various Inozemtsev-type limits of the quantum double elliptic (DELL) system when both elliptic parameters are sent to zero at different rates, while the cou…