Scattering amplitudes and Wilson loops in twistor space

@article{Adamo2011ScatteringAA,
  title={Scattering amplitudes and Wilson loops in twistor space},
  author={Tim Adamo and Mathew Bullimore and Lionel Mason and David Skinner},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2011},
  volume={44}
}
This paper reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for super-Yang–Mills. Wilson loops and amplitudes are derived from first principles using the twistor action for maximally supersymmetric Yang–Mills theory. We start by deriving the MHV rules for gauge theory amplitudes from the twistor action in an axial gauge in twistor space, and show that this gives rise to the original momentum space version given by Cachazo, Svrček and Witten. We… 

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References

SHOWING 1-10 OF 116 REFERENCES

MHV diagrams in twistor space and the twistor action

MHV diagrams give an efficient Feynman diagram-like formalism for calculating gauge theory scattering amplitudes on momentum space. Although they arise as the Feynman diagrams from an action on

Scattering amplitudes and BCFW recursion in twistor space

Twistor ideas have led to a number of recent advances in our understanding of scattering amplitudes. Much of this work has been indirect, determining the twistor space support of scattering

Maximally helicity-violating diagrams in twistor space and the twistor action

MHV diagrams give an efficient Feynman diagram-like formalism for calculating gauge theory scattering amplitudes on momentum space. Although they arise as the Feynman diagrams from an action on

Notes on the scattering amplitude — Wilson loop duality

We consider the duality between the four-dimensional S-matrix of planar maximally supersymmetric Yang-Mills theory and the expectation value of polygonal shaped Wilson loops in the same theory. We

Twistor-strings, Grassmannians and leading singularities

We derive a systematic procedure for obtaining explicit, ℓ-loop leading singularities of planar $$ \mathcal{N} $$ = 4 super Yang-Mills scattering amplitudes in twistor space directly from their

MHV diagrams in momentum twistor space

We show that there are remarkable simplifications when the MHV diagram formalism for $ \mathcal{N} = 4 $ super Yang-Mills is reformulated in momentum twistor space. The vertices are replaced by unity

The S-matrix in twistor space

The marvelous simplicity and remarkable hidden symmetries recently uncovered in (Super) Yang-Mills and (Super)Gravity scattering amplitudes strongly suggests the existence of a “weak-weak” dual

Holomorphic Linking, Loop Equations and Scattering Amplitudes in Twistor Space

We study a complex analogue of a Wilson Loop, dened over a complex curve, in non-Abelian holomorphic Chern-Simons theory. We obtain a version of the Makeenko-Migdal loop equation describing how the

Gravity, Twistors and the MHV Formalism

We give a self-contained proof of the formula for the MHV amplitudes for gravity conjectured by Berends, Giele & Kuijf and use the associated twistor generating function to define a twistor action
...