Hi and I am sorry if you find my question naive.(adsbygoogle = window.adsbygoogle || []).push({});

I have to find the Killing vectors of the AdS metric

[itex]ds_{d+1}^{2} = \frac{dz^2 - dt^2 + dx^idx^i}{z^2} [/itex]

I have found the Christoffel symbols. If I use the Killing's equation [itex]\nabla_{a}X^{b} + \nabla_{b}X^{a} = 0[/itex] I find a set of differential equations. Ok, then supposing I can solve them I get components of vectors, e.g. [itex]X_{z} = ze^{c}[/itex]. So this is a component of the Killing vector?

I am quite confused and I would appreciate if someone could explain in simple steps how to proceed.

Thank you very much for your help and patience.

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# HELP with Killing Vectors in AdS

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