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.

13 pages, no figure. v2: journal version

References in corpus (5)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The Refined Topological Vertex
• Exact ABJM Partition Function from TBA
• Topological Strings and Quantum Spectral Problems
• Quantum Periods and TBA-like Equations for a Class of Calabi-Yau Geometries