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

Bao-ning Du (Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei, Anhui, 230026, China; Peng Huanwu Center for Fundamental Theory, Hefei, Anhui, 230026, China) ; Min-xin Huang (Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei, Anhui, 230026, China; Peng Huanwu Center for Fundamental Theory, Hefei, Anhui, 230026, China)

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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      "value": "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\u2019s 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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Published on:
04 January 2021
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2021 (2021)
Issue 1
Pages 1-20
DOI:
https://doi.org/10.1007/JHEP01(2021)002
arXiv:
2009.07009
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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