# Where does the vanishing of gaugini supersymmetry come from?

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Killing spinor equations are equations that result from supersymmetric transformations.

I understand that there in $N=2$ $D=4$ supergravity coupled to vector multiplets there is a graviton, 2 gravitini and a 'so-called' graviphoton. This can be found here http://arxiv.org/pdf/math/0002122.pdf where the author says:

"As we neglect here the hypermultiplets, we have to consider the basic supergravity multiplet and the vector multiplets.The supergravity sector contains the graviton, 2 gravitini and a so-called graviphoton"

So if fermions here should vanish in $N=2$ supergravity theories (those coupled to vector multiplets), we should see vanishing of gravitini supersymmetry only in order to give us the first Killing spinor equation.

My question is that I see the presence of both: the vanishing gravitini and gaugini supersymmetry in some papers in $N=2, D=4$ supergravity coupled to vector muliplets. Where does the gaugini supersymmetry come from? asked Dec 29, 2015
reshown Apr 19, 2016

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