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R. Ward, On Self-Dual Gauge Fields
1977
Earlier work this paper cites.
Longman Scientific and Technical, 1977
G. Sparling, Dynamically Broken Symmetry and Global Yang-Mills in Minkowski Space · 1977
Earlier work this paper cites.
M. Green, J. Schwarz, and L. Brink, 𝒩 = 4 \mathcal{N}=4 Yang-Mills and 𝒩 = 8 \mathcal{N}=8 supergravity as limits of string theories
1982
Earlier work this paper cites.
N. Woodhouse, Real Methods in Twistor Theory
1985
Earlier work this paper cites.
L. Magnea and G. Sterman, Analytic continuation of the Sudakov form-factor in QCD
1990
Earlier work this paper cites.
W. Siegel, The 𝒩 = 2 ( 4 ) \mathcal{N}=2(4) String is Self-dual 𝒩 = 4 \mathcal{N}=4 Yang-Mills
1992
Earlier work this paper cites.
W. Siegel, Self-dual 𝒩 = 8 \mathcal{N}=8 supergravity as closed 𝒩 = 2 ( 4 ) \mathcal{N}=2(4) strings
1993
Earlier work this paper cites.
G. Chalmers and W. Siegel, The Self-Dual Sector of QCD Amplitudes
1996
Earlier work this paper cites.
H. Ooguri, J. Rahmfeld, H. Robins, and J. Tannenhauser, Holography in superspace
2000
Earlier work this paper cites.
G. Sterman and M. E. Tejeda-Yeomans, Multi-loop amplitudes and resummation
2003
Earlier work this paper cites.

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2011

Bullimore, Mathew, Skinner, David

At loop level in planar N=4 super Yang-Mills, the dual superconformal symmetry of tree amplitudes is lost.

This is true even if one uses a supersymmetry preserving regulator, and even for finite quantities that remain dual conformally invariant.
We examine this breaking from the dual point of view of the super Wilson Loop, tracing it to the difference between supersymmetries of the self-dual and of the full theories.
We show that the anomaly is controlled by a descent equation that determines the derivative of an L-loop amplitude in terms of a single non-trivial integral of an (L-1)-loop amplitude.

R. Ward, On Self-Dual Gauge Fields
1977
Earlier work this paper cites.
Longman Scientific and Technical, 1977
G. Sparling, Dynamically Broken Symmetry and Global Yang-Mills in Minkowski Space · 1977
Earlier work this paper cites.
M. Green, J. Schwarz, and L. Brink, 𝒩 = 4 \mathcal{N}=4 Yang-Mills and 𝒩 = 8 \mathcal{N}=8 supergravity as limits of string theories
1982
Earlier work this paper cites.
N. Woodhouse, Real Methods in Twistor Theory
1985
Earlier work this paper cites.
L. Magnea and G. Sterman, Analytic continuation of the Sudakov form-factor in QCD
1990
Earlier work this paper cites.
W. Siegel, The 𝒩 = 2 ( 4 ) \mathcal{N}=2(4) String is Self-dual 𝒩 = 4 \mathcal{N}=4 Yang-Mills
1992
Earlier work this paper cites.
W. Siegel, Self-dual 𝒩 = 8 \mathcal{N}=8 supergravity as closed 𝒩 = 2 ( 4 ) \mathcal{N}=2(4) strings
1993
Earlier work this paper cites.
G. Chalmers and W. Siegel, The Self-Dual Sector of QCD Amplitudes
1996
Earlier work this paper cites.
H. Ooguri, J. Rahmfeld, H. Robins, and J. Tannenhauser, Holography in superspace
2000
Earlier work this paper cites.
G. Sterman and M. E. Tejeda-Yeomans, Multi-loop amplitudes and resummation
2003
Earlier work this paper cites.

A. Kotikov and L. Lipatov, DGLAP and BFLKL evolution equations in the 𝒩 = 4 \mathcal{N}=4 supersymmetric gauge theory
2003
Cited alongside, same era.
E. Witten, Perturbative Gauge Theory as a String Theory in Twistor Space
2004
Cited alongside, same era.
Z. Bern, L. Dixon, and V. Smirnov, Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
2005
Cited alongside, same era.
R. Britto, F. Cachazo, B. Feng, and E. Witten, Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
2005
Cited alongside, same era.
R. Boels, L. Mason, and D. Skinner, Supersymmetric Gauge Theories in Twistor Space
2007
Cited alongside, same era.
J. Drummond, G. Korchemsky, and E. Sokatchev, Conformal Properties of Four-Gluon Planar Amplitudes and Wilson Loops