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From Twistor Actions to MHV Diagrams

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arxiv hep-th/0702035 v1 pith:KGN5O5HP submitted 2007-02-05 hep-th hep-ph

classification hep-thhep-ph
keywords gaugetwistoractionsdiagramsformalismspace-timeactionadditional
verification ladder T0 review T1 audit T2 compute T3 formal
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We show that MHV diagrams are the Feynman diagrams of certain twistor actions for gauge theories in an axial gauge. The gauge symmetry of the twistor action is larger than that on space-time and this allows us to fix a gauge that makes the MHV formalism manifest but which is inaccessible from space-time. The framework is extended to describe matter fields: as an illustration we explicitly construct twistor actions for an adjoint scalar with arbitrary polynomial potential and a fermion in the fundamental representation and show how this leads to additional towers of MHV vertices in the MHV diagram formalism.

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Cited by 2 Pith papers

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

  1. Twistor fishnets

    hep-th 2019-08 conditional novelty 7.0 of 10

    Fishnet theory is recast on twistor space with an abelian gauge symmetry, yielding manifestly conformal cohomological amplitude formulae.

  2. Celestial Chiral Algebras and Self-Dual Gravity

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    This thesis derives deformations of celestial chiral algebras in self-dual gravity on curved backgrounds, obtaining W(infinity) on Eguchi-Hanson space, Ldiff_q(C) under Moyal deformation, and a two-parameter deformati...

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