Talk:Killing spinor

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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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