Twistor Equation
The twistor equation states that
| del _(A^')^((A)phi^(B...E))=0, |
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 del denotes the spinor connection, 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.
See also
Twistor, Zero Rest Mass EquationThis entry contributed by Salem Said
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References
Hugget, S. A. and Tod, K. P. An Introduction to Twistor Theory, rev. ed. Cambridge, England: Cambridge University Press, 1993.Referenced on Wolfram|Alpha
Twistor EquationCite this as:
Said, Salem. "Twistor Equation." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/TwistorEquation.html