Built on

L. Brink, O. Lindgren, B.E.W. Nilsson, “N=4 Yang-Mills theory on the light cone,” Nucl. Phys. B212
1983
Earlier work this paper cites.
V.P. Nair, “A current algebra for some gauge theory amplitudes,” Phys. Lett. B 214
1988
Earlier work this paper cites.
Z. Bern, A. De Freitas, L.J. Dixon, H.L. Wong, “Supersymmetric regularization, two loop QCD amplitudes and coupling shifts,” Phys. Rev. D 66
2002
Earlier work this paper cites.
C. Anastasiou, Z. Bern, L.J. Dixon, D.A. Kosower, “Planar amplitudes in maximally supersymmetric Yang-Mills theory,” Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
Z. Bern, L.J. Dixon, V.A. Smirnov, “Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond,” Phys. Rev. D 72
2005
Earlier work this paper cites.
L.F. Alday, J.M. Maldacena, “Gluon scattering amplitudes at strong coupling,” JHEP 0706
Original
2007
Earlier work this paper cites.
G.P. Korchemsky, J.M. Drummond, E. Sokatchev, “Conformal properties of four-gluon planar amplitudes and Wilson loops,” Nucl. Phys. B 795
Original
2008
Earlier work this paper cites.
A. Brandhuber, P. Heslop, G. Travaglini, “MHV amplitudes in N=4 super Yang-Mills and Wilson loops,” Nucl. Phys. B794
Original
2008
Earlier work this paper cites.

Similar

Z. Bern, L.J. Dixon, D.A. Kosower, R. Roiban, M. Spradlin, C. Vergu, A. Volovich, “The two-loop six-gluon MHV amplitude in maximally supersymmetric Yang-Mills theory,” Phys. Rev. D78
Original
2008
Cited alongside, same era.
F. Cachazo, M. Spradlin, A. Volovich, “Leading singularities of the two-loop six-particle MHV amplitude,” Phys. Rev. D78
Original
2008
Cited alongside, same era.
J.M. Drummond, J. Henn, G.P. Korchemsky, E. Sokatchev, “On planar gluon amplitudes/Wilson loops duality,” Nucl. Phys. B 795
Original
2009
Cited alongside, same era.
C. Anastasiou, A. Brandhuber, P. Heslop, V.V. Khoze, B. Spence, G. Travaglini, “Two-loop polygon Wilson loops in N=4 SYM,” JHEP 0905
Original
2009
Cited alongside, same era.
J.M. Drummond, J. Henn, G.P. Korchemsky, E. Sokatchev, “Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory,” Nucl. Phys. B 828

Then

V. Del Duca, C. Duhr, V.A. Smirnov, “An analytic result for the two-loop hexagon Wilson loop in N = 4 SYM,” JHEP 1003
Original
2010
Later among the works it cites.
A.B. Goncharov, M. Spradlin, C. Vergu, A. Volovich, “Classical polylogarithms for amplitudes and Wilson loops,” Phys. Rev. Lett. 105
Original
2010
Later among the works it cites.
V. Del Duca, C. Duhr, V.A. Smirnov, “A Two-Loop Octagon Wilson Loop in N = 4 SYM,” JHEP 1009
Original
2010
Later among the works it cites.
S. Caron-Huot, “Notes on the scattering amplitude / Wilson loop duality,” JHEP 1107
Original
2011
Later among the works it cites.
A.V. Belitsky, G.P. Korchemsky, E. Sokatchev, “Are scattering amplitudes dual to super Wilson loops?,” Nucl. Phys. B 855

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2012

A note on two-loop superloop

Belitsky, A. V.

Understand

We explore the duality between supersymmetric Wilson loop on null polygonal contours in maximally supersymmetric Yang-Mills theory and next-to-maximal helicity violating (NMHV) scattering amplitudes.

Earlier analyses demonstrated that the use of a dimensional regulator for ultraviolet divergences, induced due to presence of the cusps on the loop, yields anomalies that break both conformal symmetry and supersymmetry.
At one-loop order, these are present only in Grassmann components localized in the vicinity of a single cusp and result in a universal function for any number of sites of the polygon that can be subtracted away in a systematic manner leaving a well-defined supersymmetric remainder dual to corresponding components of the superamplitude.
The question remains though whether components which were free from the aforementioned supersymmetric anomaly at leading order of perturbation theory remain so once computed at higher orders.

Built on

L. Brink, O. Lindgren, B.E.W. Nilsson, “N=4 Yang-Mills theory on the light cone,” Nucl. Phys. B212
1983
Earlier work this paper cites.
V.P. Nair, “A current algebra for some gauge theory amplitudes,” Phys. Lett. B 214
1988
Earlier work this paper cites.
Z. Bern, A. De Freitas, L.J. Dixon, H.L. Wong, “Supersymmetric regularization, two loop QCD amplitudes and coupling shifts,” Phys. Rev. D 66
2002
Earlier work this paper cites.
C. Anastasiou, Z. Bern, L.J. Dixon, D.A. Kosower, “Planar amplitudes in maximally supersymmetric Yang-Mills theory,” Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
Z. Bern, L.J. Dixon, V.A. Smirnov, “Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond,” Phys. Rev. D 72
2005
Earlier work this paper cites.
L.F. Alday, J.M. Maldacena, “Gluon scattering amplitudes at strong coupling,” JHEP 0706
Original
2007
Earlier work this paper cites.
G.P. Korchemsky, J.M. Drummond, E. Sokatchev, “Conformal properties of four-gluon planar amplitudes and Wilson loops,” Nucl. Phys. B 795
Original
2008
Earlier work this paper cites.
A. Brandhuber, P. Heslop, G. Travaglini, “MHV amplitudes in N=4 super Yang-Mills and Wilson loops,” Nucl. Phys. B794
Original
2008
Earlier work this paper cites.