Built on

S. Ferrara, R. Gatto, A.F. Grillo, “Conformal algebra in space-time and operator product expansion,” Springer Tracts Mod. Phys. 67
1973
Earlier work this paper cites.
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.
S.J. Parke, T.R. Taylor, “An amplitude for n-gluon scattering,” Phys. Rev. Lett. 56
1986
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.
M.L. Mangano, S.J. Parke, Z. Xu, “Duality and multigluon scattering,” Nucl. Phys. B 298
1988
Earlier work this paper cites.
D. Müller, “Conformal constraints and the evolution of the nonsinglet meson distribution amplitude,” Phys. Rev. D 49
1999
Earlier work this paper cites.
J.P. Harnad, S. Shnider, “Constraints and field equations for ten-dimensional superYang-Mills theory,” Commun. Math. Phys. 106
2000
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.
E. Witten, “Perturbative gauge theory as a string theory in twistor space,” Commun. Math. Phys. 252
2004
Earlier work this paper cites.

Similar

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
Cited alongside, same era.
R. Britto, B. Feng, R. Roiban, M. Spradlin, A. Volovich, “All split helicity tree-level gluon amplitudes,” Phys. Rev. D 71
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Cited alongside, same era.
R. Britto, F. Cachazo, B. Feng, “New recursion relations for tree amplitudes of gluons,” Nucl. Phys. B 715
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Cited alongside, same era.
L.F. Alday, J.M. Maldacena, “Gluon scattering amplitudes at strong coupling,” JHEP 0706
Original
2007
Cited alongside, same era.
G.P. Korchemsky, J.M. Drummond, E. Sokatchev, “Conformal properties of four-gluon planar amplitudes and Wilson loops,” Nucl. Phys. B 795
Original
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Then

J.M. Drummond, J. Henn, G.P. Korchemsky, E. Sokatchev, “On planar gluon amplitudes/Wilson loops duality,” Nucl. Phys. B 795
Original
2009
Later among the works it cites.
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
Later among the works it cites.
J.M. Drummond, J. Henn, G.P. Korchemsky, E. Sokatchev, “Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes,” Nucl. Phys. B 826
Original
2010
Later among the works it cites.
L.J. Mason, D. Skinner, “The complete planar S-matrix of N=4 SYM as a Wilson loop in twistor space,” JHEP 1012
Original
2010
Later among the works it cites.
V. Del Duca, C. Duhr, V.A. Smirnov, “An analytic result for the two-loop hexagon Wilson loop in N = 4 SYM,” JHEP 1003

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2012

Conformal anomaly of super Wilson loop

Belitsky, A. V.

Understand

Classically supersymmetric Wilson loop on a null polygonal contour possesses all symmetries required to match it onto non-MHV amplitudes in maximally supersymmetric Yang-Mills theory.

However, to define it quantum mechanically, one is forced to regularize it since perturbative loop diagrams are not well-defined due to presence of ultraviolet divergences stemming from integration in the vicinity of the cusps.
A regularization that is adopted by practitioners by allowing one to use spinor helicity formalism, on the one hand, and systematically go to higher orders of perturbation theory is based on a version of dimensional regularization, known as Four-Dimensional Helicity scheme.
Recently it was demonstrated that its use for the super Wilson loop at one loop breaks both conformal symmetry and Poincare supersymmetry.

Built on

S. Ferrara, R. Gatto, A.F. Grillo, “Conformal algebra in space-time and operator product expansion,” Springer Tracts Mod. Phys. 67
1973
Earlier work this paper cites.
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.
S.J. Parke, T.R. Taylor, “An amplitude for n-gluon scattering,” Phys. Rev. Lett. 56
1986
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.
M.L. Mangano, S.J. Parke, Z. Xu, “Duality and multigluon scattering,” Nucl. Phys. B 298
1988
Earlier work this paper cites.
D. Müller, “Conformal constraints and the evolution of the nonsinglet meson distribution amplitude,” Phys. Rev. D 49
1999
Earlier work this paper cites.
J.P. Harnad, S. Shnider, “Constraints and field equations for ten-dimensional superYang-Mills theory,” Commun. Math. Phys. 106
2000
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.
E. Witten, “Perturbative gauge theory as a string theory in twistor space,” Commun. Math. Phys. 252
2004
Earlier work this paper cites.

Similar

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
Cited alongside, same era.
R. Britto, B. Feng, R. Roiban, M. Spradlin, A. Volovich, “All split helicity tree-level gluon amplitudes,” Phys. Rev. D 71
2005
Cited alongside, same era.
R. Britto, F. Cachazo, B. Feng, “New recursion relations for tree amplitudes of gluons,” Nucl. Phys. B 715
2005
Cited alongside, same era.
L.F. Alday, J.M. Maldacena, “Gluon scattering amplitudes at strong coupling,” JHEP 0706
Original
2007
Cited alongside, same era.
G.P. Korchemsky, J.M. Drummond, E. Sokatchev, “Conformal properties of four-gluon planar amplitudes and Wilson loops,” Nucl. Phys. B 795
Original
2008