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Original
1973
Earlier work this paper cites.
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1984
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.
L. F. Alday, D. Gaiotto and Y. Tachikawa, “Liouville Correlation Functions from Four-dimensional Gauge Theories,” Lett. Math. Phys. 91
Original
2010
Earlier work this paper cites.
Y. Imamura, “Relation between the 4d superconformal index and the S 3 S^{3} partition function,” JHEP 1109
Original
2011
Earlier work this paper cites.

Similar

D. Harlow, J. Maltz and E. Witten, “Analytic Continuation of Liouville Theory,” JHEP 1112
Original
2011
Cited alongside, same era.
N. Hama, K. Hosomichi and S. Lee, “SUSY Gauge Theories on Squashed Three-Spheres,” JHEP 1105
Original
2011
Cited alongside, same era.
V. Pestun, “Localization of gauge theory on a four-sphere and supersymmetric Wilson loops,” Commun. Math. Phys. 313
Original
2012
Cited alongside, same era.
N. Hama and K. Hosomichi, “Seiberg-Witten Theories on Ellipsoids,” JHEP 1209
Original
2012
Cited alongside, same era.
A. Gadde and W. Yan, “Reducing the 4d Index to the S 3 S^{3} Partition Function,” JHEP 1212
Original

Then

J. T. Liu, L. A. Pando Zayas and D. Reichmann, “Rigid Supersymmetric Backgrounds of Minimal Off-Shell Supergravity,” JHEP 1210
Original
2012
Later among the works it cites.
H. -C. Kim, S. -S. Kim and K. Lee, “5-dim Superconformal Index with Enhanced En Global Symmetry,” JHEP 1210
Original
2012
Later among the works it cites.
Y. Imamura and D. Yokoyama, “N=2 supersymmetric theories on squashed three-sphere,” Phys. Rev. D 85
Original
2012
Later among the works it cites.
K. Hosomichi, R. -K. Seong and S. Terashima, “Supersymmetric Gauge Theories on the Five-Sphere,” Nucl. Phys. B 865
Original
2012
Later among the works it cites.
C. Closset, T. T. Dumitrescu, G. Festuccia and Z. Komargodski, “Supersymmetric Field Theories on Three-Manifolds,” JHEP 1305

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2013

Supersymmetric Gauge Theories on a Squashed Four-Sphere

Nosaka, Tomoki, Terashima, Seiji

Understand

We define a squashed four-sphere by a dimensional reduction of a twisted S^4 x S^1, and construct explicitly a supersymmetric Yang-Mills action on it.

The action includes a non-trivial dilaton factor and a theta term with a non-constant theta.
The partition function of this theory is calculated using the localization technique.
The resulting partition function can be written in the form consistent with the AGT relation due to the non-constant theta term.