Built on

H. Exton, “Multiple Hypergeometric Functions and Applications,” Ellis Horwood Ltd., 1976
Original
1976
Earlier work this paper cites.
E. Witten, “Topological Quantum Field Theory,” Commun. Math. Phys. 117
1988
Earlier work this paper cites.
M. L. Mehta, “Random matrices,” 2nd edition, Academic Press, 1991
1991
Earlier work this paper cites.
M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, “Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes,” Commun. Math. Phys. 165
1994
Earlier work this paper cites.
M. Nishizawa, “On a q-Analogue of the Multiple Gamma Functions,” Lett. Math. Phys. 37
1996
Earlier work this paper cites.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
O. Bergman, A. Hanany, A. Karch and B. Kol, “Branes and supersymmetry breaking in three-dimensional gauge theories,” JHEP 9910
1999
Earlier work this paper cites.
R. Gopakumar and C. Vafa, “On the gauge theory / geometry correspondence,” Adv. Theor. Math. Phys. 3
1999
Earlier work this paper cites.
J. K. Erickson, G. W. Semenoff and K. Zarembo, “Wilson loops in N=4 supersymmetric Yang-Mills theory,” Nucl. Phys. B 582
2000
Earlier work this paper cites.
N. Drukker and D. J. Gross, “An Exact prediction of N=4 SYM theory for string theory,” J. Math. Phys. 42
2001
Earlier work this paper cites.
B. Sundborg, “Stringy gravity, interacting tensionless strings and massless higher spins,” Nucl. Phys. Proc. Suppl. 102
2001
Earlier work this paper cites.
I. R. Klebanov and A. M. Polyakov, “AdS dual of the critical O(N) vector model,” Phys. Lett. B 550
2002
Earlier work this paper cites.
E. Sezgin and P. Sundell, “Massless higher spins and holography,” Nucl. Phys. B 644
2003
Earlier work this paper cites.
N. A. Nekrasov, “Seiberg-Witten prepotential from instanton counting,” Adv. Theor. Math. Phys. 7
2004
Earlier work this paper cites.
M. Marino, “Chern-Simons theory, matrix integrals, and perturbative three manifold invariants,” Commun. Math. Phys. 253
2004
Earlier work this paper cites.
M. Aganagic, A. Klemm, M. Marino and C. Vafa, “Matrix model as a mirror of Chern-Simons theory,” JHEP 0402
2004
Earlier work this paper cites.
M. Marino, “Chern-Simons theory and topological strings,” Rev. Mod. Phys. 77
2004
Earlier work this paper cites.
M. Tierz, “Soft matrix models and Chern-Simons partition functions,” Mod. Phys. Lett. A 19
2004
Earlier work this paper cites.
G. Gasper and M. Rahman, “Basic Hypergeometric Series”, 2nd edition, Cambridge, 2004
2004
Earlier work this paper cites.

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2012

The Partition Function of ABJ Theory

Awata, Hidetoshi, Hirano, Shinji, Shigemori, Masaki

Understand

We study the partition function of the N=6 supersymmetric U(N_1)_k x U(N_2)_{-k} Chern-Simons-matter (CSM) theory, also known as the ABJ theory.

For this purpose, we first compute the partition function of the U(N_1) x U(N_2) lens space matrix model exactly.
The result can be expressed as a product of q-deformed Barnes G-function and a generalization of multiple q-hypergeometric function.
The ABJ partition function is then obtained from the lens space partition function by analytically continuing N_2 to -N_2.

Built on

H. Exton, “Multiple Hypergeometric Functions and Applications,” Ellis Horwood Ltd., 1976
Original
1976
Earlier work this paper cites.
E. Witten, “Topological Quantum Field Theory,” Commun. Math. Phys. 117
1988
Earlier work this paper cites.
M. L. Mehta, “Random matrices,” 2nd edition, Academic Press, 1991
1991
Earlier work this paper cites.
M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, “Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes,” Commun. Math. Phys. 165
1994
Earlier work this paper cites.
M. Nishizawa, “On a q-Analogue of the Multiple Gamma Functions,” Lett. Math. Phys. 37
1996
Earlier work this paper cites.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
O. Bergman, A. Hanany, A. Karch and B. Kol, “Branes and supersymmetry breaking in three-dimensional gauge theories,” JHEP 9910
1999
Earlier work this paper cites.
R. Gopakumar and C. Vafa, “On the gauge theory / geometry correspondence,” Adv. Theor. Math. Phys. 3
1999
Earlier work this paper cites.
J. K. Erickson, G. W. Semenoff and K. Zarembo, “Wilson loops in N=4 supersymmetric Yang-Mills theory,” Nucl. Phys. B 582
2000
Earlier work this paper cites.
N. Drukker and D. J. Gross, “An Exact prediction of N=4 SYM theory for string theory,” J. Math. Phys. 42
2001
Earlier work this paper cites.
B. Sundborg, “Stringy gravity, interacting tensionless strings and massless higher spins,” Nucl. Phys. Proc. Suppl. 102
2001
Earlier work this paper cites.
I. R. Klebanov and A. M. Polyakov, “AdS dual of the critical O(N) vector model,” Phys. Lett. B 550
2002
Earlier work this paper cites.
E. Sezgin and P. Sundell, “Massless higher spins and holography,” Nucl. Phys. B 644
2003
Earlier work this paper cites.
N. A. Nekrasov, “Seiberg-Witten prepotential from instanton counting,” Adv. Theor. Math. Phys. 7
2004
Earlier work this paper cites.
M. Marino, “Chern-Simons theory, matrix integrals, and perturbative three manifold invariants,” Commun. Math. Phys. 253
2004
Earlier work this paper cites.
M. Aganagic, A. Klemm, M. Marino and C. Vafa, “Matrix model as a mirror of Chern-Simons theory,” JHEP 0402
2004
Earlier work this paper cites.
M. Marino, “Chern-Simons theory and topological strings,” Rev. Mod. Phys. 77
2004
Earlier work this paper cites.
M. Tierz, “Soft matrix models and Chern-Simons partition functions,” Mod. Phys. Lett. A 19
2004
Earlier work this paper cites.
G. Gasper and M. Rahman, “Basic Hypergeometric Series”, 2nd edition, Cambridge, 2004
2004
Earlier work this paper cites.