2015/12/31 by Sebastian Franco, Yasuyuki Hatsuda, Marcos Marino · 1 citation
Mathematics · Physics and Astronomy · #hep-th #math-ph #math.MP #math.SP #nlin.SI
paper · pdf · doi:10.1088/1742-5468/2016/06/063107
27 pages, v2: published version
arxiv created 2016/06/04 · arxiv updated 2016/08/03
We propose exact quantization conditions for the quantum integrable systems of Goncharov and Kenyon, based on the enumerative geometry of the corresponding toric Calabi-Yau manifolds. Our conjecture builds upon recent results on the quantization of mirror curves, and generalizes a previous proposal for the quantization of the relativistic Toda lattice. We present explicit tests of our conjecture for the integrable systems associated to the resolved C3/Z5 and C3/Z6 orbifolds.