Kavli Affiliate: Andrei Okounkov
| First 5 Authors: Mina Aganagic, Mina Aganagic, , ,
| Summary:
In our paper arXiv:1701.03146 we established, for every simply-laced Lie
algebra g, a canonical isomorphism between the spaces of deformed conformal
blocks of the deformed W-algebra and the quantum affine algebra corresponding
to g, which we view as a q-deformation of the quantum Langlands correspondence.
This was done by realizing the deformed conformal blocks of these algebras via
the quantum K-theory of the Nakajima quiver varieties. We also linked this
isomorphism to a duality emerging from the 6d little string theory. Here, we
give a brief survey of these results and propose an extension to the non-simply
laced case, which exhibits a Langlands-type duality.
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