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

Published 4 October 2005 Published under licence by IOP Publishing Ltd
, , Citation Lionel J. Mason JHEP10(2005)009 DOI 10.1088/1126-6708/2005/10/009

1126-6708/2005/10/009

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 and super Yang-Mills modes from the standard Yang-Mills modes.

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10.1088/1126-6708/2005/10/009