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

Abstract

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.

23 pages. v2: typos etc. corrected, some extra clarifying remarks, particularly in section 3

References in corpus (2)

• Conformal Supergravity in Twistor-String Theory
• Lectures on Twistor Strings and Perturbative Yang-Mills Theory

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