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arXiv · 2009.07009

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

Bao-ning Du·Min-xin Huang
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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.

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Bao-ning Du, Min-xin Huang. 2020-09-15. Quantum Periods and TBA-like Equations for a Class of Calabi-Yau Geometries. https://doi.org/10.1007/jhep01(2021)002

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