Quantum periods and TBA-like equations for a class of Calabi-Yau geometries

Bao-ning Du, Min-xin Huang
2021 Journal of High Energy Physics  
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
more » ... h are nevertheless related to the same quantum period.
doi:10.1007/jhep01(2021)002 fatcat:fwlae24sqbaitmf7ioog7euhmy