Operators and higher genus mirror curves

Santiago Codesido (1) , Jie Gu (2) , Marcos Mariño (1)

1 UNIGE - Université de Genève = University of Geneva
2 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]

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.

Keywords: Nonperturbative Effects; Topological Strings; Lattice Integrable Models

Domains: Physics [physics]

Santiago Codesido, Jie Gu, Marcos Mariño. Operators and higher genus mirror curves. Journal of High Energy Physics, 2017, 2, pp.092. ⟨10.1007/JHEP02(2017)092⟩. ⟨hal-01504469⟩