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The self-dual sector of QCD amplitudes

7 Pith papers cite this work. Polarity classification is still indexing.

7 Pith papers citing it
abstract

We provide an action for self-dual Yang-Mills theory which is a simple truncation of the usual Yang-Mills action. Only vertices that violate helicity conservation maximally are included. One-loop amplitudes in the self-dual theory then follow as a subset of the Yang-Mills ones. In light-cone gauges this action is almost identical to previously proposed actions, but in this formulation the vanishing of all higher-loop amplitudes is obvious; the explicit perturbative S-matrix is known. Similar results apply to gravity.

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Schwarzschild black holes from twistor space

hep-th · 2026-07-07 · 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.

Amplitudes in self-dual (higher-spin) theories

hep-th · 2026-04-27 · unverdicted · novelty 6.0

All self-dual theories with or without higher-spin fields possess nontrivial tree-level amplitudes in Kleinian or complex Minkowski kinematics, completing the celestial analogue of the higher-spin duality.

Supersymmetric twists in twistor space and holography

hep-th · 2026-07-02 · unverdicted · novelty 5.0

Computes minimal and chiral algebra twists of supersymmetric self-dual Yang-Mills and N=1 supergravity in twistor space, finding localization to spacetime or planes with matching holographic duals.

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