PhyAmateur
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What does it mean that a Killing vector and a total differential of a certain theory are related to bilinears?
In other words, why would bilinears (e.g. of the forms ##<\gamma_0\epsilon, \gamma_5\gamma_{\mu}\epsilon>## and ##<\gamma_0\epsilon, \gamma_{\mu}\epsilon>## tell us anything about differential forms or killing vectors? Is this their usual usage?
My question arises from a footnote I read on here in this link where the first is a total differential and the second is Killing vector.
In other words, why would bilinears (e.g. of the forms ##<\gamma_0\epsilon, \gamma_5\gamma_{\mu}\epsilon>## and ##<\gamma_0\epsilon, \gamma_{\mu}\epsilon>## tell us anything about differential forms or killing vectors? Is this their usual usage?
My question arises from a footnote I read on here in this link where the first is a total differential and the second is Killing vector.
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