Built on

L. F. Alday, M. Fluder, P. Richmond and J. Sparks, Gravity Dual of Supersymmetric Gauge Theories on a Squashed Five-Sphere , Phys. Rev. Lett. 113
Original
1925
Earlier work this paper cites.
L. D. Faddeev, Discrete Heisenberg-Weyl group and modular group , Lett. Math. Phys. 34
1995
Earlier work this paper cites.
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics , Phys. Lett. B388
1996
Earlier work this paper cites.
D. R. Morrison and N. Seiberg, Extremal transitions and five-dimensional supersymmetric field theories , Nucl. Phys. B483
1997
Earlier work this paper cites.
K. A. Intriligator, D. R. Morrison and N. Seiberg, Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces , Nucl. Phys. B497
1997
Earlier work this paper cites.
O. Aharony and A. Hanany, Branes, superpotentials and superconformal fixed points , Nucl. Phys. B504
1997
Earlier work this paper cites.
S. P. de Alwis, Coupling of branes and normalization of effective actions in string / M theory , Phys. Rev. D56
1997
Earlier work this paper cites.
O. Aharony, A. Hanany and B. Kol, Webs of (p,q) five-branes, five-dimensional field theories and grid diagrams , JHEP 01
1998
Earlier work this paper cites.
S. Ferrara, A. Kehagias, H. Partouche and A. Zaffaroni, AdS(6) interpretation of 5-D superconformal field theories , Phys. Lett. B431
1998
Earlier work this paper cites.
A. Brandhuber and Y. Oz, The D-4 - D-8 brane system and five-dimensional fixed points , Phys. Lett. B460
1999
Earlier work this paper cites.
D. Z. Freedman, S. D. Mathur, A. Matusis and L. Rastelli, Correlation functions in the CFT(d) / AdS(d+1) correspondence , Nucl. Phys. B546
1999
Earlier work this paper cites.
S. N. M. Ruijsenaars, On barnes’ multiple zeta and gamma functions , Advances in Mathematics 156
2000
Earlier work this paper cites.
A. Narukawa, The modular properties and the integral representations of the multiple elliptic gamma functions , ArXiv Mathematics e-prints (June, 2003) , [ math/0306164 ]
2003
Earlier work this paper cites.
F. Benini, S. Benvenuti and Y. Tachikawa, Webs of five-branes and N=2 superconformal field theories , JHEP 09
Original
2009
Earlier work this paper cites.
C. P. Herzog, I. R. Klebanov, S. S. Pufu and T. Tesileanu, Multi-Matrix Models and Tri-Sasaki Einstein Spaces , Phys. Rev. D83
Original
2011
Earlier work this paper cites.

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Later among the works it cites.
L. Bao, V. Mitev, E. Pomoni, M. Taki and F. Yagi, Non-Lagrangian Theories from Brane Junctions , JHEP 01
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L. F. Alday, P. Richmond and J. Sparks, The holographic supersymmetric Renyi entropy in five dimensions , JHEP 02
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Y. Tachikawa, A review of the T N T_{N} theory and its cousins , PTEP 2015
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2018

Precision test of AdS$_6$/CFT$_5$ in Type IIB

Fluder, Martin, Uhlemann, Christoph F.

Understand

Large classes of warped AdS$_6$ solutions were constructed recently in Type IIB supergravity, and identified as holographic duals for five-dimensional superconformal field theories realized by $(p,q)$ five-brane webs.

We confront holographic results for the five sphere partition functions obtained from these solutions with computations for the putative dual field theories.
We obtain the sphere partition functions and conformal central charges in gauge theory deformations of the superconformal field theories numerically using supersymmetric localization, and extrapolate the results to the conformal fixed points.
In the appropriate large $N$ limits, the results match precisely to the supergravity computations, providing strong support for the proposed dualities.

Built on

L. F. Alday, M. Fluder, P. Richmond and J. Sparks, Gravity Dual of Supersymmetric Gauge Theories on a Squashed Five-Sphere , Phys. Rev. Lett. 113
Original
1925
Earlier work this paper cites.
L. D. Faddeev, Discrete Heisenberg-Weyl group and modular group , Lett. Math. Phys. 34
1995
Earlier work this paper cites.
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics , Phys. Lett. B388
1996
Earlier work this paper cites.
D. R. Morrison and N. Seiberg, Extremal transitions and five-dimensional supersymmetric field theories , Nucl. Phys. B483
1997
Earlier work this paper cites.
K. A. Intriligator, D. R. Morrison and N. Seiberg, Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces , Nucl. Phys. B497
1997
Earlier work this paper cites.
O. Aharony and A. Hanany, Branes, superpotentials and superconformal fixed points , Nucl. Phys. B504
1997
Earlier work this paper cites.
S. P. de Alwis, Coupling of branes and normalization of effective actions in string / M theory , Phys. Rev. D56
1997
Earlier work this paper cites.
O. Aharony, A. Hanany and B. Kol, Webs of (p,q) five-branes, five-dimensional field theories and grid diagrams , JHEP 01
1998
Earlier work this paper cites.
S. Ferrara, A. Kehagias, H. Partouche and A. Zaffaroni, AdS(6) interpretation of 5-D superconformal field theories , Phys. Lett. B431
1998
Earlier work this paper cites.
A. Brandhuber and Y. Oz, The D-4 - D-8 brane system and five-dimensional fixed points , Phys. Lett. B460
1999
Earlier work this paper cites.
D. Z. Freedman, S. D. Mathur, A. Matusis and L. Rastelli, Correlation functions in the CFT(d) / AdS(d+1) correspondence , Nucl. Phys. B546
1999
Earlier work this paper cites.
S. N. M. Ruijsenaars, On barnes’ multiple zeta and gamma functions , Advances in Mathematics 156
2000
Earlier work this paper cites.
A. Narukawa, The modular properties and the integral representations of the multiple elliptic gamma functions , ArXiv Mathematics e-prints (June, 2003) , [ math/0306164 ]
2003
Earlier work this paper cites.
F. Benini, S. Benvenuti and Y. Tachikawa, Webs of five-branes and N=2 superconformal field theories , JHEP 09
Original
2009
Earlier work this paper cites.
C. P. Herzog, I. R. Klebanov, S. S. Pufu and T. Tesileanu, Multi-Matrix Models and Tri-Sasaki Einstein Spaces , Phys. Rev. D83
Original
2011
Earlier work this paper cites.

Similar

I. R. Klebanov, S. S. Pufu and B. R. Safdi, F-Theorem without Supersymmetry , JHEP 10
Original
2011
Cited alongside, same era.
L. D. Faddeev, Volkov’s Pentagon for the Modular Quantum Dilogarithm , Funct. Anal. Appl. 45
Original
2011
Cited alongside, same era.
O. Bergman and D. Rodriguez-Gomez, 5d quivers and their AdS(6) duals , JHEP 1207
Original
2012
Cited alongside, same era.
O. Bergman and D. Rodriguez-Gomez, Probing the Higgs branch of 5d fixed point theories with dual giant gravitons in AdS(6) , JHEP 12
Original
2012
Cited alongside, same era.
V. Pestun, Localization of gauge theory on a four-sphere and supersymmetric Wilson loops , Commun. Math. Phys. 313
Original

Then

N. Hama, T. Nishioka and T. Ugajin, Supersymmetric Rényi entropy in five dimensions , JHEP 12
Original
2014
Later among the works it cites.
L. Bao, V. Mitev, E. Pomoni, M. Taki and F. Yagi, Non-Lagrangian Theories from Brane Junctions , JHEP 01
Original
2014
Later among the works it cites.
L. F. Alday, P. Richmond and J. Sparks, The holographic supersymmetric Renyi entropy in five dimensions , JHEP 02
Original
2015
Later among the works it cites.
Y. Tachikawa, A review of the T N T_{N} theory and its cousins , PTEP 2015
Original
2015
Later among the works it cites.
O. Bergman and G. Zafrir, Lifting 4d dualities to 5d , JHEP 04
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2012

Cited alongside, same era.

J. Källén, J. Qiu and M. Zabzine, The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere , JHEP 08

Original

2012

Cited alongside, same era.

D. Gaiotto, N=2 dualities , JHEP 08

Original

2012

Cited alongside, same era.

A. Passias, A note on supersymmetric AdS 6 solutions of massive type IIA supergravity , JHEP 01

Original

2013

Cited alongside, same era.

O. Bergman, D. Rodríguez-Gómez and G. Zafrir, 5d superconformal indices at large N and holography , JHEP 08

Original

2013

Cited alongside, same era.

H.-C. Kim and S. Kim, M5-branes from gauge theories on the 5-sphere , JHEP 05

Original

2013

Cited alongside, same era.

Y. Imamura, Perturbative partition function for squashed S 5 S^{5} , PTEP 2013

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2013

Cited alongside, same era.

Y. Imamura, Supersymmetric theories on squashed five-sphere , PTEP 2013

Original

2013

Cited alongside, same era.

2015