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We derive quantum spectral curve equation for (q,t)-matrix model, which turnsout to be a certain difference equation. We show that in Nekrasov-Shatashvililimit this equation reproduces the Baxter TQ equation for the quantum XXZ spinchain. This chain is spectral dual to the Seiberg-Witten integrable systemassociated with the AGT dual gauge theory.

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