Built on

R. G. Leigh and M. J. Strassler, Exactly marginal operators and duality in four-dimensional N=1 supersymmetric gauge theory , Nucl. Phys. B447
1995
Earlier work this paper cites.
N. Dorey, C. Fraser, T. J. Hollowood and M. A. C. Kneipp, S duality in N=4 supersymmetric gauge theories with arbitrary gauge group , Phys. Lett. B383
1996
Earlier work this paper cites.
P. S. Howe, E. Sokatchev and P. C. West, Three point functions in N=4 Yang-Mills , Phys. Lett. B444
1998
Earlier work this paper cites.
P. S. Howe and P. C. West, Nonperturbative Green’s functions in theories with extended superconformal symmetry , Int. J. Mod. Phys. A14
1999
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman, S. D. Mathur, A. Matusis and L. Rastelli, Graviton exchange and complete four point functions in the AdS / CFT correspondence , Nucl. Phys. B562
1999
Earlier work this paper cites.
G. Arutyunov, S. Frolov and A. C. Petkou, Operator product expansion of the lowest weight CPOs in N=4 SYM(4) at strong coupling , Nucl. Phys. B586
2000
Earlier work this paper cites.
B. Eden and E. Sokatchev, On the OPE of 1/2 BPS short operators in N=4 SCFT(4) , Nucl.Phys. B618
2001
Earlier work this paper cites.
F. Dolan and H. Osborn, Superconformal symmetry, correlation functions and the operator product expansion , Nucl.Phys. B629
2002
Earlier work this paper cites.
G. Arutyunov, S. Penati, A. C. Petkou, A. Santambrogio and E. Sokatchev, Nonprotected operators in N=4 SYM and multiparticle states of AdS(5) SUGRA , Nucl. Phys. B643
2002
Earlier work this paper cites.
F. Dolan and H. Osborn, On short and semi-short representations for four-dimensional superconformal symmetry , Annals Phys. 307
2003
Earlier work this paper cites.
F. A. Dolan, L. Gallot and E. Sokatchev, On four-point functions of 1/2-BPS operators in general dimensions , JHEP 09
2004
Earlier work this paper cites.
Cambridge university press, 2004
S. Boyd and L. Vandenberghe, Convex optimization · 2004
Earlier work this paper cites.
S. Catterall, Lattice formulation of N=4 super Yang-Mills theory , JHEP 06
2005
Earlier work this paper cites.
M. Nirschl and H. Osborn, Superconformal Ward identities and their solution , Nucl.Phys. B711
2005
Earlier work this paper cites.
P. C. Argyres, A. Kapustin and N. Seiberg, On S-duality for non-simply-laced gauge groups , JHEP 06
2006
Earlier work this paper cites.
R. Rattazzi, V. S. Rychkov, E. Tonni and A. Vichi, Bounding scalar operator dimensions in 4D CFT , JHEP 0812
Original
2008
Earlier work this paper cites.
S. Catterall, D. B. Kaplan and M. Unsal, Exact lattice supersymmetry , Phys.Rept. 484
Original
2009
Earlier work this paper cites.
Z. Bajnok, R. A. Janik and T. Łukowski, Four loop twist two, BFKL, wrapping and strings , Nucl. Phys. B816
Original
2009
Earlier work this paper cites.
V. N. Velizhanin, The four-loop anomalous dimension of the Konishi operator in N=4 supersymmetric Yang-Mills theory , JETP Lett. 89
Original
2009
Earlier work this paper cites.
V. N. Velizhanin, The Non-planar contribution to the four-loop universal anomalous dimension in N=4 Supersymmetric Yang-Mills theory , JETP Lett. 89
Original
2009
Earlier work this paper cites.

Similar

B. Eden, G. P. Korchemsky and E. Sokatchev, From correlation functions to scattering amplitudes , JHEP 12
Original
2011
Cited alongside, same era.
L. F. Alday, B. Eden, G. P. Korchemsky, J. Maldacena and E. Sokatchev, From correlation functions to Wilson loops , JHEP 09
Original
2011
Cited alongside, same era.
S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin et al., Solving the 3D Ising Model with the Conformal Bootstrap , Phys.Rev. D86
Original
2012
Cited alongside, same era.
D. Poland, D. Simmons-Duffin and A. Vichi, Carving Out the Space of 4D CFTs , JHEP 1205
Original
2012
Cited alongside, same era.
C. Beem, L. Rastelli and B. C. van Rees, The N=4 Superconformal Bootstrap , Phys.Rev.Lett. 111

Then

C. Beem, M. Lemos, P. Liendo, W. Peelaers, L. Rastelli and B. C. van Rees, Infinite Chiral Symmetry in Four Dimensions , Commun. Math. Phys. 336
Original
2015
Later among the works it cites.
D. Simmons-Duffin, A Semidefinite Program Solver for the Conformal Bootstrap , JHEP 06
Original
2015
Later among the works it cites.
G. P. Korchemsky and E. Sokatchev, Four-point correlation function of stress-energy tensors in 𝒩 = 4 \mathcal{N}=4 superconformal theories , JHEP 12
Original
2015
Later among the works it cites.
L. F. Alday and A. Bissi, Generalized bootstrap equations for 𝒩 = 4 \mathcal{N}=4 SCFT , JHEP 02
Original
2015
Later among the works it cites.
R. Doobary and P. Heslop, Superconformal partial waves in Grassmannian field theories , JHEP 12

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2016

More ${\mathcal N}=4$ superconformal bootstrap

Beem, Christopher, Rastelli, Leonardo, van Rees, Balt C.

Understand

In this long overdue second installment, we continue to develop the conformal bootstrap program for ${\mathcal N}=4$ superconformal field theories in four dimensions via an analysis of the correlation function of four stress-tensor supermultiplets.

We review analytic results for this correlator and make contact with the SCFT/chiral algebra correspondence of arXiv:1312.5344.
We demonstrate that the constraints of unitarity and crossing symmetry require the central charge $c$ to be greater than or equal to $3/4$ in any interacting ${\mathcal N}=4$ SCFT.
We apply numerical bootstrap methods to derive upper bounds on scaling dimensions and OPE coefficients for several low-lying, unprotected operators as a function of the central charge.

Built on

R. G. Leigh and M. J. Strassler, Exactly marginal operators and duality in four-dimensional N=1 supersymmetric gauge theory , Nucl. Phys. B447
1995
Earlier work this paper cites.
N. Dorey, C. Fraser, T. J. Hollowood and M. A. C. Kneipp, S duality in N=4 supersymmetric gauge theories with arbitrary gauge group , Phys. Lett. B383
1996
Earlier work this paper cites.
P. S. Howe, E. Sokatchev and P. C. West, Three point functions in N=4 Yang-Mills , Phys. Lett. B444
1998
Earlier work this paper cites.
P. S. Howe and P. C. West, Nonperturbative Green’s functions in theories with extended superconformal symmetry , Int. J. Mod. Phys. A14
1999
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman, S. D. Mathur, A. Matusis and L. Rastelli, Graviton exchange and complete four point functions in the AdS / CFT correspondence , Nucl. Phys. B562
1999
Earlier work this paper cites.
G. Arutyunov, S. Frolov and A. C. Petkou, Operator product expansion of the lowest weight CPOs in N=4 SYM(4) at strong coupling , Nucl. Phys. B586
2000
Earlier work this paper cites.
B. Eden and E. Sokatchev, On the OPE of 1/2 BPS short operators in N=4 SCFT(4) , Nucl.Phys. B618
2001
Earlier work this paper cites.
F. Dolan and H. Osborn, Superconformal symmetry, correlation functions and the operator product expansion , Nucl.Phys. B629
2002
Earlier work this paper cites.
G. Arutyunov, S. Penati, A. C. Petkou, A. Santambrogio and E. Sokatchev, Nonprotected operators in N=4 SYM and multiparticle states of AdS(5) SUGRA , Nucl. Phys. B643
2002
Earlier work this paper cites.
F. Dolan and H. Osborn, On short and semi-short representations for four-dimensional superconformal symmetry , Annals Phys. 307
2003
Earlier work this paper cites.
F. A. Dolan, L. Gallot and E. Sokatchev, On four-point functions of 1/2-BPS operators in general dimensions , JHEP 09
2004
Earlier work this paper cites.
Cambridge university press, 2004
S. Boyd and L. Vandenberghe, Convex optimization · 2004
Earlier work this paper cites.
S. Catterall, Lattice formulation of N=4 super Yang-Mills theory , JHEP 06
2005
Earlier work this paper cites.
M. Nirschl and H. Osborn, Superconformal Ward identities and their solution , Nucl.Phys. B711
2005
Earlier work this paper cites.
P. C. Argyres, A. Kapustin and N. Seiberg, On S-duality for non-simply-laced gauge groups , JHEP 06
2006
Earlier work this paper cites.
R. Rattazzi, V. S. Rychkov, E. Tonni and A. Vichi, Bounding scalar operator dimensions in 4D CFT , JHEP 0812
Original
2008
Earlier work this paper cites.
S. Catterall, D. B. Kaplan and M. Unsal, Exact lattice supersymmetry , Phys.Rept. 484
Original
2009
Earlier work this paper cites.
Z. Bajnok, R. A. Janik and T. Łukowski, Four loop twist two, BFKL, wrapping and strings , Nucl. Phys. B816
Original
2009
Earlier work this paper cites.
V. N. Velizhanin, The four-loop anomalous dimension of the Konishi operator in N=4 supersymmetric Yang-Mills theory , JETP Lett. 89
Original
2009
Earlier work this paper cites.
V. N. Velizhanin, The Non-planar contribution to the four-loop universal anomalous dimension in N=4 Supersymmetric Yang-Mills theory , JETP Lett. 89
Original
2009
Earlier work this paper cites.