Supersymmetric gauge theories in twistor space

By R. Boels, L. Mason, David Skinner. 2006

201 citations recorded by the source corpus.

We construct a twistor space action for = 4 super Yang-Mills theory and show that it is equivalent to its four dimensional spacetime counterpart at the level of perturbation theory. We compare our partition function to the original twistor-string proposal, showing that although our theory is closely related to string theory, it is free from conformal supergravity. We also provide twistor actions for gauge theories with <4 supersymmetry, and show how matter multiplets may be coupled to the gauge sector.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/256523d7cdbef7388d5ed45ac0f8a17776068c22

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In Nuclear and High Energy Physics

Citations in the corpus

TASI Lectures on Scattering Amplitudes (2017, background): “On-shell tools have excavated a landscape of structures: hidden Yangian and dual conformal symmetries [80, 81, 82, 83, 84], reformulations of the S-matrix in twistor space [85, 86, 22, 87, 88, 89, 90, 91] and Grassmannian space [92, 93, 94], as well as connections to abstract volumes [12, 95] like t”
Supersymmetric gauge theory and the Yangian (2013, methodology): “eory is that studied by Kapustin [Kap06]. These results can be veriﬁed using the techniques of [Cos11b], which relies heavily on the twistor formulation of supersymmetric gauge theory developed in on [BMS07]. SUPERSYMMETRIC GAUGE THEORY AND THE YANGIAN 29 By “claim” I mean that I believe I know how ”
Scattering amplitudes and Wilson loops in twistor space (2011, background): “The vertices can be made explicit by perturbatively expanding the logarithm of the determinant, yielding [16, 17]”
Generating tree amplitudes in Script N = 4 SYM and Script N = 8 SG (2008, background): “For related work in the supertwistor formulation, see for example [38].”
The complete planar S-matrix of $ \mathcal{N} = 4 $ SYM as a Wilson loop in twistor space (2010, methodology): “As explained in [22], this gauge freedom may be exploited to relate the twistor action either to the MHV diagram formalism or to the standard space-time action for N = 4 SYM.”