Quantum Periods and TBA-like Equations for a Class of Calabi-Yau Geometries
arXiv:2009.07009 · doi:10.1007/JHEP01(2021)002
Abstract
We continue the study of a novel relation between quantum periods and TBA(Thermodynamic Bethe Ansatz)-like difference equations, generalize previous works to a large class of Calabi-Yau geometries described by three-term quantum operators. We give two methods to derive the TBA-like equations. One method uses only elementary functions while the other method uses Faddeev's quantum dilogarithm function. The two approaches provide different realizations of TBA-like equations which are nevertheless related to the same quantum period.
arXiv comment23 pages, no figure. v2: journal version
References in corpus (27)
- Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Quantum Dilogarithm
- Nekrasov Functions and Exact Bohr-Sommerfeld Integrals
- Quantization of Integrable Systems and Four Dimensional Gauge Theories
- A New Supersymmetric Index
- ABJM theory as a Fermi gas
- Non-perturbative effects and the refined topological string
- Quantum Geometry of Refined Topological Strings
- Painleve III and 2D Polymers
- Membrane instantons from a semiclassical TBA
- Exact Results on the ABJM Fermi Gas
- Matrix models from operators and topological strings, 2
- Analytic Structure of all Loop Banana Amplitudes
- New Exact Quantization Condition for Toric Calabi-Yau Geometries
- Operators from mirror curves and the quantum dilogarithm
- Matrix models from operators and topological strings
- TBA equations and resurgent Quantum Mechanics
- Topological Strings and Quantum Spectral Problems
- N=2 Supersymmetry, Painleve III and Exact Scaling Functions in 2D Polymers
- Proofs of Two Conjectures Related to the Thermodynamic Bethe Ansatz
- Exact quantization conditions for cluster integrable systems
- TBA for the Toda chain
- A Solvable Deformation of Quantum Mechanics
- TBA-like integral equations from quantized mirror curves
- Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz
- Quantum Periods and Spectra in Dimer Models and Calabi-Yau Geometries