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

Yegor Zenkevich

doi:10.1007/s11005-017-1015-2

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

High Energy Physics - Theory 2017-11-01 v2 Mathematical Physics math.MP

Authors: Yegor Zenkevich

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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.

Cite

@article{arxiv.1507.00519,
  title  = {Quantum spectral curve for (q,t)-matrix model},
  author = {Yegor Zenkevich},
  journal= {arXiv preprint arXiv:1507.00519},
  year   = {2017}
}

Comments

13 pages, published version

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