Operators and higher genus mirror curves

Autor: Codesido, Santiago, Gu, Jie, Marino, Marcos
Rok vydání: 2016
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP02(2017)092
Popis: 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.
Comment: 48 pages, 9 figures, minor typos corrected
Databáze: arXiv