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Twistor actions for non-self-dual fields; a new foundation for twistor-string theory

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arxiv hep-th/0507269 v2 pith:F7LCUSOL submitted 2005-07-27 hep-th gr-qcmath-phmath.DGmath.MP

Twistor actions for non-self-dual fields; a new foundation for twistor-string theory

classification hep-th gr-qcmath-phmath.DGmath.MP
keywords conformaltwistoryang-millsactionsbasisderivationgravitylevel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Twistor space constructions and actions are given for full Yang-Mills and conformal gravity using almost complex structures that are not, in general, integrable. These are used as the basis of a derivation of the twistor-string generating functionals for tree level perturbative scattering amplitudes of Yang-Mills and conformal gravity. The derivation follows by expanding and resumming the classical approximation to the path integral obtained from the twistor action. It provides a basis for exploring whether the equivalence can be made to extend beyond tree level and allows one to disentangle conformal supergravity modes from the Yang-Mills modes.

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Cited by 3 Pith papers

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

  1. Schwarzschild black holes from twistor space

    hep-th 2026-07 conditional novelty 8.0

    The Schwarzschild metric is derived as a Kähler metric on a holomorphic 'coincidence locus' within the twistor space of self-dual Taub-NUT, solving the googly problem for this specific spacetime.

  2. 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.

  3. 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.