Quantum Periods and TBA-like Equations for a Class of Calabi-Yau Geometries

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.

23 pages, no figure. v2: journal version

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• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Analytic Structure of all Loop Banana Amplitudes
• Topological Strings and Quantum Spectral Problems
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Cited by in corpus (3)

• Bootstrapping Calabi-Yau Quantum Mechanics
• Brane Transitions from Exceptional Groups
• Note on Quantum Periods and a TBA-like System