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

Autor: Bao-ning Du, Min-xin Huang
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2021, Iss 1, Pp 1-20 (2021)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP01(2021)002
Popis: 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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