Twistor Equation

The twistor equation states that

where the parentheses denote symmetrization, in a Lorentz transformation, primed spinors transform under the conjugate of the transformation for unprimed ones, Einstein summation is used throughout, and  denotes the spinorconnection, which is equivalent to the Levi-Civita connection on Minkowski space. The zero rest mass equation can be solved by twistor functions. The solution uses ideas from complex variable theory and cohomology.

REFERENCES:

Hugget, S. A. and Tod, K. P. An Introduction to Twistor Theory, rev. ed. Cambridge, England: Cambridge University Press, 1993.