Built on

E. Witten, “On the Structure of the Topological Phase of Two-dimensional Gravity,” Nucl. Phys. B 340
1990
Earlier work this paper cites.
R. Dijkgraaf, H. L. Verlinde and E. P. Verlinde, “Topological strings in d ¡ 1,” Nucl. Phys. B 352
1991
Earlier work this paper cites.
S. Cecotti and C. Vafa, “Topological antitopological fusion,” Nucl. Phys. B 367
1991
Earlier work this paper cites.
S. Lee, S. Minwalla, M. Rangamani and N. Seiberg, “Three point functions of chiral operators in D = 4, N=4 SYM at large N,” Adv. Theor. Math. Phys. 2
1998
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. B 546
1999
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman and W. Skiba, “Field theory tests for correlators in the AdS / CFT correspondence,” Phys. Rev. D 59
1999
Earlier work this paper cites.
S. Penati, A. Santambrogio and D. Zanon, “Two point functions of chiral operators in N=4 SYM at order g**4,” JHEP 9912
1999
Earlier work this paper cites.
N. Drukker and D. J. Gross, “An Exact prediction of N=4 SUSYM theory for string theory,” J. Math. Phys. 42
2001
Earlier work this paper cites.
K. Hosomichi, S. Lee and J. Park, “AGT on the S-duality Wall,” JHEP 1012
Original
2010
Earlier work this paper cites.

Similar

K. Papadodimas, “Topological Anti-Topological Fusion in Four-Dimensional Superconformal Field Theories,” JHEP 1008
Original
2010
Cited alongside, same era.
S. J. Rey and T. Suyama, “Exact Results and Holography of Wilson Loops in N=2 Superconformal (Quiver) Gauge Theories,” JHEP 1101
Original
2011
Cited alongside, same era.
F. Passerini and K. Zarembo, “Wilson Loops in N=2 Super-Yang-Mills from Matrix Model,” JHEP 1109
Original
2011
Cited alongside, same era.
N. Drukker, D. Gaiotto and J. Gomis, “The Virtue of Defects in 4D Gauge Theories and 2D CFTs,” JHEP 1106
Original
2011
Cited alongside, same era.
M. Marino, “Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories,” J. Phys. A 44

Then

M. Baggio, J. de Boer and K. Papadodimas, “A non-renormalization theorem for chiral primary 3-point functions,” JHEP 1207
Original
2012
Later among the works it cites.
E. Gerchkovitz, J. Gomis and Z. Komargodski, “Sphere Partition Functions and the Zamolodchikov Metric,” JHEP 1411
Original
2014
Later among the works it cites.
M. Buican, T. Nishinaka and C. Papageorgakis, “Constraints on chiral operators in 𝒩 = 2 \mathcal{N}=2 SCFTs,” JHEP 1412
Original
2014
Later among the works it cites.
M. Baggio, V. Niarchos and K. Papadodimas, “tt ∗
Original
2015
Later among the works it cites.
M. Baggio, V. Niarchos and K. Papadodimas, “On exact correlation functions in SU(N) 𝒩 = 2 \mathcal{N}=2 superconformal QCD,” JHEP 1511

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2016

Large N Correlation Functions in Superconformal Field Theories

Rodriguez-Gomez, Diego, Russo, Jorge G.

Understand

We compute correlation functions of chiral primary operators in N=2 superconformal theories at large N using a construction based on supersymmetric localization recently developed by Gerchkovitz et al.

We focus on N=4 SYM as well as on superconformal QCD.
In the case of N=4 we recover the free field theory results as expected due to non-renormalization theorems.
In the case of superconformal QCD we study the planar expansion in the large N limit.

Built on

E. Witten, “On the Structure of the Topological Phase of Two-dimensional Gravity,” Nucl. Phys. B 340
1990
Earlier work this paper cites.
R. Dijkgraaf, H. L. Verlinde and E. P. Verlinde, “Topological strings in d ¡ 1,” Nucl. Phys. B 352
1991
Earlier work this paper cites.
S. Cecotti and C. Vafa, “Topological antitopological fusion,” Nucl. Phys. B 367
1991
Earlier work this paper cites.
S. Lee, S. Minwalla, M. Rangamani and N. Seiberg, “Three point functions of chiral operators in D = 4, N=4 SYM at large N,” Adv. Theor. Math. Phys. 2
1998
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. B 546
1999
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman and W. Skiba, “Field theory tests for correlators in the AdS / CFT correspondence,” Phys. Rev. D 59
1999
Earlier work this paper cites.
S. Penati, A. Santambrogio and D. Zanon, “Two point functions of chiral operators in N=4 SYM at order g**4,” JHEP 9912
1999
Earlier work this paper cites.
N. Drukker and D. J. Gross, “An Exact prediction of N=4 SUSYM theory for string theory,” J. Math. Phys. 42
2001
Earlier work this paper cites.
K. Hosomichi, S. Lee and J. Park, “AGT on the S-duality Wall,” JHEP 1012
Original
2010
Earlier work this paper cites.

Similar

K. Papadodimas, “Topological Anti-Topological Fusion in Four-Dimensional Superconformal Field Theories,” JHEP 1008
Original
2010
Cited alongside, same era.
S. J. Rey and T. Suyama, “Exact Results and Holography of Wilson Loops in N=2 Superconformal (Quiver) Gauge Theories,” JHEP 1101
Original
2011
Cited alongside, same era.
F. Passerini and K. Zarembo, “Wilson Loops in N=2 Super-Yang-Mills from Matrix Model,” JHEP 1109
Original
2011
Cited alongside, same era.
N. Drukker, D. Gaiotto and J. Gomis, “The Virtue of Defects in 4D Gauge Theories and 2D CFTs,” JHEP 1106
Original
2011
Cited alongside, same era.
M. Marino, “Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories,” J. Phys. A 44

Then

M. Baggio, J. de Boer and K. Papadodimas, “A non-renormalization theorem for chiral primary 3-point functions,” JHEP 1207
Original
2012
Later among the works it cites.
E. Gerchkovitz, J. Gomis and Z. Komargodski, “Sphere Partition Functions and the Zamolodchikov Metric,” JHEP 1411
Original
2014
Later among the works it cites.
M. Buican, T. Nishinaka and C. Papageorgakis, “Constraints on chiral operators in 𝒩 = 2 \mathcal{N}=2 SCFTs,” JHEP 1412
Original
2014
Later among the works it cites.
M. Baggio, V. Niarchos and K. Papadodimas, “tt ∗
Original
2015
Later among the works it cites.
M. Baggio, V. Niarchos and K. Papadodimas, “On exact correlation functions in SU(N) 𝒩 = 2 \mathcal{N}=2 superconformal QCD,” JHEP 1511

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

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.

J. Gomis, T. Okuda and V. Pestun, “Exact Results for ’t Hooft Loops in Gauge Theories on S 4 S^{4} ,” JHEP 1205

Original

2012

Cited alongside, same era.

J. E. Bourgine, “A Note on the integral equation for the Wilson loop in N = 2 D=4 superconformal Yang-Mills theory,” J. Phys. A 45

Original

2012

Cited alongside, same era.

J. G. Russo and K. Zarembo, “Large N Limit of N=2 SU(N) Gauge Theories from Localization,” JHEP 1210

Original

2012

Cited alongside, same era.

R. Dijkgraaf, H. L. Verlinde and E. P. Verlinde, “Notes on topological string theory and 2-D quantum gravity,” PUPT-1217, IASSNS-HEP-90-80, C90-04-23, C90-05-27

Cited in the paper.

E. Gerchkovitz, J. Gomis, N. Ishtiaque, A. Karasik, Z. Komargodski and S. S. Pufu, “Correlation Functions of Coulomb Branch Operators,” arXiv:1602.05971 [hep-th]

Original

Cited in the paper.

Original

2015

Later among the works it cites.

J. Gomis and N. Ishtiaque, “Kahler potential and ambiguities in 4d 𝒩 \mathcal{N} = 2 SCFTs,” JHEP 1504

Original

2015

Later among the works it cites.

B. Fiol, E. Gerchkovitz and Z. Komargodski, “Exact Bremsstrahlung Function in N = 2 N=2 Superconformal Field Theories,” Phys. Rev. Lett. 116