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The purpose of these notes is to give a short survey of an interesting connection between partition functions of supersymmetric gauge theories and hypergeometric functions and to present the recent progress in this direction.
1909
Earlier work this paper cites.
R. Askey, “Ramanujan’s Extensions of the Gamma and Beta Functions,” Amer. Math. Monthly
1980
Earlier work this paper cites.
E. Witten, “Constraints on Supersymmetry Breaking,” Nucl.Phys
1982
Earlier work this paper cites.
B. Nassrallah and M. Rahman, “Projection Formulas, a Reproducing Kernel and a Generating Function for q-Wilson Polynomials,” SIAM J. Math. Anal
1985
Earlier work this paper cites.
R. Askey and J. A. Wilson, “Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials,” Mem. Amer. Math. Soc
1985
Earlier work this paper cites.
M. Rahman, “An integral representation of a φ 9 10 {}_{10}\varphi_{9} and continuous bi-orthogonal φ 9 10 {}_{10}\varphi_{9} rational functions,” Canad. J. Math
1986
Earlier work this paper cites.
W. A. Al-Salam and M. E. H. Ismail, “ q q -beta integrals and the q q -Hermite polynomials,” Pacific J. Math
1988
Earlier work this paper cites.
N. Seiberg, “Electric - magnetic duality in supersymmetric nonAbelian gauge theories,” Nucl.Phys
1995
Earlier work this paper cites.
K. A. Intriligator, “New RG fixed points and duality in supersymmetric SP(N(c)) and SO(N(c)) gauge theories,” Nucl.Phys
1995
Earlier work this paper cites.
K. A. Intriligator and N. Seiberg, “Mirror symmetry in three-dimensional gauge theories,” Phys.Lett
1996
Earlier work this paper cites.
I. B. Frenkel and V. G. Turaev, “Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions,” The Arnold-Gelfand Mathematical Seminars
1997
Earlier work this paper cites.
S. N. M. Ruijsenaars, “First order analytic difference equations and integrable quantum systems,” J. Math. Phys
1997
Earlier work this paper cites.
J. de Boer, K. Hori, Y. Oz, and Z. Yin, “Branes and mirror symmetry in N=2 supersymmetric gauge theories in three-dimensions,” Nucl.Phys
1997
Earlier work this paper cites.
O. Aharony, A. Hanany, K. A. Intriligator, N. Seiberg, and M. Strassler, “Aspects of N=2 supersymmetric gauge theories in three-dimensions,” Nucl.Phys
1997
Earlier work this paper cites.
G. Felder and A. Varchenko, “The Elliptic Gamma Function and S L ( 3 , Z ) × Z 3 SL(3,Z)\times Z_{3} ,” Adv. Math
2000
Earlier work this paper cites.
V. P. Spiridonov, “On the elliptic beta function,” Russ. Math. Surv
2001
Earlier work this paper cites.
M. Nishizawa, “An elliptic analogue of the multiple gamma function,” J. Phys. A
2001
Earlier work this paper cites.
V. P. Spiridonov, “Theta hypergeometric integrals,” Algebra i Analiz
2003
Cited alongside, same era.
H. Rosengren, “Elliptic hypergeometric series on root systems,” Adv. Math
2004
Cited alongside, same era.
Cambridge University Press, second ed., 2004
G. Gasper and M. Rahman, Basic hypergeometric series · 2004
Cited alongside, same era.
A. Narukawa, “The modular properties and the integral representations of the multiple elliptic gamma functions,” Adv. Math
2004
Cited alongside, same era.
J. V. Stokman, “Hyperbolic beta integrals,” Adv. Math
2005
Cited alongside, same era.
C. Romelsberger, “Counting chiral primaries in N = 1, d=4 superconformal field theories,” Nucl.Phys
2006
Cited alongside, same era.
2011
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2011
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2011
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2011
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J. Kinney, J. M. Maldacena, S. Minwalla, and S. Raju, “An Index for 4 dimensional super conformal theories,” Commun.Math.Phys
2007
Cited alongside, same era.
F. J. van de Bult, “Hyperbolic hypergeometric functions,” Ph.D. thesis, University of Amsterdam
2007
Cited alongside, same era.
V. P. Spiridonov, “Essays on the theory of elliptic hypergeometric functions,” Russ. Math. Surv
2008
Cited alongside, same era.
2009
Cited alongside, same era.
J. Bhattacharya and S. Minwalla, “Superconformal Indices for N = 6 Chern Simons Theories,” JHEP
2009
Cited alongside, same era.
S. Kim, “The Complete superconformal index for N=6 Chern-Simons theory,” Nucl.Phys
2009
Cited alongside, same era.
2012
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T. Dimofte and D. Gaiotto, “An E7 Surprise,” JHEP
2012
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2012
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A. Gadde and W. Yan, “Reducing the 4d Index to the S 3 S^{3} Partition Function,” JHEP
2012
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2012
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2013
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I. Gahramanov and G. Vartanov, “Extended global symmetries for 4D N N = 1 SQCD theories,” J.Phys
2013
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I. Gahramanov and H. Rosengren, “A new pentagon identity for the tetrahedron index,” JHEP
2013
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M. Yamazaki, “Four-dimensional superconformal index reloaded,” Theor.Math.Phys
2013
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2013
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2015
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