Talk:Killing spinor

I'm prepared to say that this is too vague to be useful. Charles Matthews 04:18, 2 Aug 2004 (UTC)

What about something like:


 * A Killing spinor on a manifold M is a spinor field $$\phi$$ which satisfies


 * $$\nabla_X\phi=\lambda X.\phi$$


 * for all tangent vectors X, where $$\nabla$$ is the spinorally covariant derivative and $$\lambda$$ is a constant, called the Killing number. If $$\lambda=0$$ then the spinor is called a parallel spinor.


 * Uses:
 * Physics - supergravity and string theory (in particular used for finding solutions which preserve some supersymmetry)
 * Mathematics - ?

Dmr2 14:28, 26 Aug 2004 (UTC)

What $$\lambda X.\phi$$ means?

Tosha 16:17, 26 Aug 2004 (UTC)

The dot in $$X.\phi$$ means Clifford multiplication. Just removed


 * The Killing equation is analogous to Maxwell's equations, but abstracted to higher dimensions.

from the main page. I don't think the Killing equation has anything to do with Maxwell's equations. Dmr2 09:59, 27 Aug 2004 (UTC)

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