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Scientific article
Open access
English

Operators and higher genus mirror curves

Published inThe journal of high energy physics, vol. 1702, p. 092-145
Collection
  • Open Access - SCOAP3
Publication date2017
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 $$ {\mathbb{C}}^{{}^3}/{\mathbb{Z}}_6 $$ 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
Citation (ISO format)
CODESIDO SANCHEZ, Santiago, GU, Jie, MARINO BEIRAS, Marcos. Operators and higher genus mirror curves. In: The journal of high energy physics, 2017, vol. 1702, p. 092–145. doi: 10.1007/JHEP02(2017)092
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Article (Published version)
Identifiers
ISSN of the journal1029-8479
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