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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 Equation

This 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 Equation

Cite this as:

Said, Salem. "Twistor Equation." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/TwistorEquation.html

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