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Operators and higher genus mirror curves

Gu, Jie
Published in Journal of High Energy Physics. 2017, vol. 1702, p. 092-145
Collection Open Access - SCOAP3
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 EffectsTopological StringsLattice Integrable Models
arXiv: 1609.00708
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CODESIDO SANCHEZ, Santiago, GU, Jie, MARINO BEIRAS, Marcos. Operators and higher genus mirror curves. In: Journal of High Energy Physics, 2017, vol. 1702, p. 092-145. doi: 10.1007/JHEP02(2017)092 https://archive-ouverte.unige.ch/unige:92236

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Deposited on : 2017-03-01

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