Exact quantization conditions for cluster integrable systems
High Energy Physics - Theory
2016-08-03 v2 Mathematical Physics
math.MP
Spectral Theory
Exactly Solvable and Integrable Systems
Abstract
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 C^3/Z_5 and C^3/Z_6 orbifolds.
Cite
@article{arxiv.1512.03061,
title = {Exact quantization conditions for cluster integrable systems},
author = {Sebastian Franco and Yasuyuki Hatsuda and Marcos Marino},
journal= {arXiv preprint arXiv:1512.03061},
year = {2016}
}
Comments
27 pages, v2: published version