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Quantum Periods and Spectra in Dimer Models and Calabi-Yau Geometries
- Source :
- JHEP 09 (2020) 168
- Publication Year :
- 2020
-
Abstract
- We study a class of quantum integrable systems derived from dimer graphs and also described by local toric Calabi-Yau geometries with higher genus mirror curves, generalizing some previous works on genus one mirror curves. We compute the spectra of the quantum systems both by standard perturbation method and by Bohr-Sommerfeld method with quantum periods as the phase volumes. In this way, we obtain some exact analytic results for the classical and quantum periods of the Calabi-Yau geometries. We also determine the differential operators of the quantum periods and compute the topological string free energy in Nekrasov-Shatashvili (NS) limit. The results agree with calculations from other methods such as the topological vertex.<br />Comment: 40 pages, 3 figures. v2: minor corrections, published in JHEP
- Subjects :
- High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- JHEP 09 (2020) 168
- Publication Type :
- Report
- Accession number :
- edsarx.2006.13482
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP09(2020)168