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arxiv: 1507.00519 · v2 · pith:735OREEOnew · submitted 2015-07-02 · ✦ hep-th · math-ph· math.MP

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

classification ✦ hep-th math-phmath.MP
keywords equationquantumspectralchaincurvedualmatrixmodel
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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.

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