Built on

D. Correa, J. Maldacena and A. Sever, “The quark anti-quark potential and the cusp anomalous dimension from a TBA equation,” JHEP 1208
Original
1913
Earlier work this paper cites.
N. Gromov, V. Kazakov, S. Leurent and D. Volin, “Quantum Spectral Curve for Planar 𝒩 = \mathcal{N}= Super-Yang-Mills Theory,” Phys. Rev. Lett. 112
Original
1939
Earlier work this paper cites.
N. I. Usyukina and A. I. Davydychev, “Exact results for three and four point ladder diagrams with an arbitrary number of rungs,” Phys. Lett. B 305
1993
Earlier work this paper cites.
R. Dijkgraaf, E. P. Verlinde and H. L. Verlinde, “Matrix string theory,” Nucl. Phys. B 500
1997
Earlier work this paper cites.
B. Eden, P. S. Howe, C. Schubert, E. Sokatchev and P. C. West, “Four point functions in N=4 supersymmetric Yang-Mills theory at two loops,” Nucl. Phys. B 557
1999
Earlier work this paper cites.
B. Eden, P. S. Howe, C. Schubert, E. Sokatchev and P. C. West, “Simplifications of four point functions in N=4 supersymmetric Yang-Mills theory at two loops,” Phys. Lett. B 466
1999
Earlier work this paper cites.
B. Eden, P. S. Howe, C. Schubert, E. Sokatchev and P. C. West, “Extremal correlators in four-dimensional SCFT,” Phys. Lett. B 472
2000
Earlier work this paper cites.
B. U. Eden, P. S. Howe, E. Sokatchev and P. C. West, “Extremal and next-to-extremal n point correlators in four-dimensional SCFT,” Phys. Lett. B 494
2000
Earlier work this paper cites.
G. Grignani, P. Orland, L. D. Paniak and G. W. Semenoff, “Matrix theory interpretation of DLCQ string world sheets,” Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys. B 599
2001
Earlier work this paper cites.
A. P. Isaev, “Multiloop Feynman integrals and conformal quantum mechanics,” Nucl. Phys. B 662
2003
Earlier work this paper cites.
R. Gopakumar, “From free fields to AdS,” Phys. Rev. D 70
2004
Earlier work this paper cites.
V. Fock and A. Goncharov, “Moduli spaces of local systems and higher Teichm¨uller theory,” Publ. Math. Inst. Hautes Etudes Sci. (2006), no. 103, 1–211, math/0311149
2006
Earlier work this paper cites.
M. D’Alessandro and L. Genovese, “A Wide class of four point functions of BPS operators in N=4 SYM at order g**4,” Nucl. Phys. B 732
2006
Earlier work this paper cites.

Similar

N. Beisert, “The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2 | | 2) Symmetry,” J. Stat. Mech. 0701
2007
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N. Beisert, B. Eden and M. Staudacher, “Transcendentality and Crossing,” J. Stat. Mech. 0701
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2008
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2009
Cited alongside, same era.

Then

B. Eden, P. Heslop, G. P. Korchemsky and E. Sokatchev, “Hidden symmetry of four-point correlation functions and amplitudes in N=4 SYM,” Nucl. Phys. B 862
Original
2012
Later among the works it cites.
B. Eden, P. Heslop, G. P. Korchemsky and E. Sokatchev, “Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in N=4 SYM,” Nucl. Phys. B 862
Original
2012
Later among the works it cites.
N. Gromov, A. Sever and P. Vieira, “Tailoring Three-Point Functions and Integrability III. Classical Tunneling,” JHEP 1207
Original
2012
Later among the works it cites.
B. Basso, A. Sever and P. Vieira, “Spacetime and Flux Tube S-Matrices at Finite Coupling for N=4 Supersymmetric Yang-Mills Theory,” Phys. Rev. Lett. 111
Original
2013
Later among the works it cites.

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2016

Hexagonalization of Correlation Functions

Fleury, Thiago, Komatsu, Shota

Understand

We propose a nonperturbative framework to study general correlation functions of single-trace operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory at large $N$.

The basic strategy is to decompose them into fundamental building blocks called the hexagon form factors, which were introduced earlier to study structure constants using integrability.
The decomposition is akin to a triangulation of a Riemann surface, and we thus call it hexagonalization.
We propose a set of rules to glue the hexagons together based on symmetry, which naturally incorporate the dependence on the conformal and the R-symmetry cross ratios.

Built on

D. Correa, J. Maldacena and A. Sever, “The quark anti-quark potential and the cusp anomalous dimension from a TBA equation,” JHEP 1208
Original
1913
Earlier work this paper cites.
N. Gromov, V. Kazakov, S. Leurent and D. Volin, “Quantum Spectral Curve for Planar 𝒩 = \mathcal{N}= Super-Yang-Mills Theory,” Phys. Rev. Lett. 112
Original
1939
Earlier work this paper cites.
N. I. Usyukina and A. I. Davydychev, “Exact results for three and four point ladder diagrams with an arbitrary number of rungs,” Phys. Lett. B 305
1993
Earlier work this paper cites.
R. Dijkgraaf, E. P. Verlinde and H. L. Verlinde, “Matrix string theory,” Nucl. Phys. B 500
1997
Earlier work this paper cites.
B. Eden, P. S. Howe, C. Schubert, E. Sokatchev and P. C. West, “Four point functions in N=4 supersymmetric Yang-Mills theory at two loops,” Nucl. Phys. B 557
1999
Earlier work this paper cites.
B. Eden, P. S. Howe, C. Schubert, E. Sokatchev and P. C. West, “Simplifications of four point functions in N=4 supersymmetric Yang-Mills theory at two loops,” Phys. Lett. B 466
1999
Earlier work this paper cites.
B. Eden, P. S. Howe, C. Schubert, E. Sokatchev and P. C. West, “Extremal correlators in four-dimensional SCFT,” Phys. Lett. B 472
2000
Earlier work this paper cites.
B. U. Eden, P. S. Howe, E. Sokatchev and P. C. West, “Extremal and next-to-extremal n point correlators in four-dimensional SCFT,” Phys. Lett. B 494
2000
Earlier work this paper cites.
G. Grignani, P. Orland, L. D. Paniak and G. W. Semenoff, “Matrix theory interpretation of DLCQ string world sheets,” Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys. B 599
2001
Earlier work this paper cites.
A. P. Isaev, “Multiloop Feynman integrals and conformal quantum mechanics,” Nucl. Phys. B 662
2003
Earlier work this paper cites.
R. Gopakumar, “From free fields to AdS,” Phys. Rev. D 70
2004
Earlier work this paper cites.
V. Fock and A. Goncharov, “Moduli spaces of local systems and higher Teichm¨uller theory,” Publ. Math. Inst. Hautes Etudes Sci. (2006), no. 103, 1–211, math/0311149
2006
Earlier work this paper cites.
M. D’Alessandro and L. Genovese, “A Wide class of four point functions of BPS operators in N=4 SYM at order g**4,” Nucl. Phys. B 732
2006
Earlier work this paper cites.

Similar

N. Beisert, “The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2 | | 2) Symmetry,” J. Stat. Mech. 0701
2007
Cited alongside, same era.
N. Beisert, B. Eden and M. Staudacher, “Transcendentality and Crossing,” J. Stat. Mech. 0701
2007
Cited alongside, same era.
N. Beisert, “The SU(2 | | 2) dynamic S-matrix,” Adv. Theor. Math. Phys. 12
2008
Cited alongside, same era.
S. S. Razamat, “On a worldsheet dual of the Gaussian matrix model,” JHEP 0807
Original
2008
Cited alongside, same era.
N. Drukker and J. Plefka, “Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills,” JHEP 0904
Original
2009
Cited alongside, same era.