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Quantum spectral curve for (q,t)-matrix model

arXiv:1507.00519 · doi:10.1007/s11005-017-1015-2

Abstract

We derive quantum spectral curve equation for (q,t)-matrix model, which turns out to be a certain difference equation. We show that in Nekrasov-Shatashvili limit this equation reproduces the Baxter TQ equation for the quantum XXZ spin chain. This chain is spectral dual to the Seiberg-Witten integrable system associated with the AGT dual gauge theory.

13 pages, published version