Note on Quantum Periods and a TBA-like System

Abstract

There is an interesting relation between the quantum periods on a certain limit of local ${\mathbb{P}}^1\times {\mathbb{P}}^1$ Calabi-Yau space and a TBA (Thermodynamic Bethe Ansatz) system appeared in the studies of ABJM (Aharony-Bergman-Jafferis-Maldacena) theory. We propose a one-parameter generalization of the relation. Furthermore, we derive the differential operators for quantum periods and the TBA-like equation in various limits of the generalized relation.

arXiv comment13 pages, no figure. v2: journal version

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