Operators and higher genus mirror curves
High Energy Physics - Theory
2017-03-08 v2 Mathematical Physics
math.MP
Abstract
We perform further tests of the correspondence between spectral theory and topological strings, focusing on mirror curves of genus greater than one with nontrivial mass parameters. In particular, we analyze the geometry relevant to the SU(3) relativistic Toda lattice, and the resolved C^3/Z_6 orbifold. Furthermore, we give evidence that the correspondence holds for arbitrary values of the mass parameters, where the quantization problem leads to resonant states. We also explore the relation between this correspondence and cluster integrable systems.
Cite
@article{arxiv.1609.00708,
title = {Operators and higher genus mirror curves},
author = {Santiago Codesido and Jie Gu and Marcos Marino},
journal= {arXiv preprint arXiv:1609.00708},
year = {2017}
}
Comments
48 pages, 9 figures, minor typos corrected