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arxiv: hep-th/0604040 · v1 · submitted 2006-04-06 · ✦ hep-th

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Supersymmetric Gauge Theories in Twistor Space

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classification ✦ hep-th
keywords theorygaugetwistorspacetheoriesactionactionsalthough
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We construct a twistor space action for N=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 N<4 supersymmetry, and show how matter multiplets may be coupled to the gauge sector.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Form factors of $\mathscr{N}=4$ self-dual Yang-Mills from the chiral algebra bootstrap

    hep-th 2026-04 conditional novelty 7.0

    The chiral algebra bootstrap yields all-loop splitting functions for self-dual N=4 SYM, a proof of no double-pole OPEs, and novel two-loop form factors with anti-self-dual field strength insertions.

  2. Towards a Carrollian Description of Yang-Mills

    hep-th 2026-04 unverdicted novelty 6.0

    A Carrollian theory on null infinity reproduces all MHV and NMHV Yang-Mills tree amplitudes, with a new explicit NMHV expression.