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T. Furukawa and S. Moriyama, “ABJM Matrix Model and 2D Toda Lattice Hierarchy,” JHEP
Original
1901
Earlier work this paper cites.
A. B. Zamolodchikov, “Painleve III and 2-d polymers,” Nucl. Phys. B
1994
Earlier work this paper cites.
C. A. Tracy and H. Widom, “Proofs of two conjectures related to the thermodynamic Bethe ansatz,” Commun. Math. Phys
1996
Earlier work this paper cites.
P. Candelas, X. C. De La Ossa, P. S. Green, and L. Parkes, “A Pair of Calabi-Yau manifolds as an exactly soluble superconformal theory,” AMS/IP Stud. Adv. Math
1998
Earlier work this paper cites.
N. A. Nekrasov, “Seiberg-Witten prepotential from instanton counting,” Adv. Theor. Math. Phys
2003
Earlier work this paper cites.
O. Aharony, O. Bergman, D. L. Jafferis, and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP
Original
2008
Earlier work this paper cites.
A. Iqbal, C. Kozcaz, and C. Vafa, “The Refined topological vertex,” JHEP
2009
Earlier work this paper cites.
B.-N. Du and M.-X. Huang, “Quantum Periods and TBA-like Equations for a Class of Calabi-Yau Geometries,” JHEP
Original
2009
Earlier work this paper cites.
A. Mironov and A. Morozov, “Nekrasov Functions and Exact Bohr-Zommerfeld Integrals,” JHEP
Original
2010
Earlier work this paper cites.

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2020

Note on Quantum Periods and a TBA-like System

Huang, Min-xin

Understand

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.

Built on

T. Furukawa and S. Moriyama, “ABJM Matrix Model and 2D Toda Lattice Hierarchy,” JHEP
Original
1901
Earlier work this paper cites.
A. B. Zamolodchikov, “Painleve III and 2-d polymers,” Nucl. Phys. B
1994
Earlier work this paper cites.
C. A. Tracy and H. Widom, “Proofs of two conjectures related to the thermodynamic Bethe ansatz,” Commun. Math. Phys
1996
Earlier work this paper cites.
P. Candelas, X. C. De La Ossa, P. S. Green, and L. Parkes, “A Pair of Calabi-Yau manifolds as an exactly soluble superconformal theory,” AMS/IP Stud. Adv. Math
1998
Earlier work this paper cites.
N. A. Nekrasov, “Seiberg-Witten prepotential from instanton counting,” Adv. Theor. Math. Phys
2003
Earlier work this paper cites.
O. Aharony, O. Bergman, D. L. Jafferis, and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP
Original
2008
Earlier work this paper cites.
A. Iqbal, C. Kozcaz, and C. Vafa, “The Refined topological vertex,” JHEP
2009
Earlier work this paper cites.
B.-N. Du and M.-X. Huang, “Quantum Periods and TBA-like Equations for a Class of Calabi-Yau Geometries,” JHEP
Original
2009
Earlier work this paper cites.
A. Mironov and A. Morozov, “Nekrasov Functions and Exact Bohr-Zommerfeld Integrals,” JHEP
Original
2010
Earlier work this paper cites.