Conformal current
= Conformal current
{title2=$j^\mu=\Theta^{\mu\nu}\omega_\nu$}
For a symmetric conserved <stress-energy tensor> $\Theta$ and a <Conformal Killing vector field> $\omega$ in dimension $d$, the displayed <conformal current> has divergence $(\partial\cdot\omega)\Theta^\mu{}_{\mu}/d$. This follows by contracting the <Conformal Killing equation> with $\Theta$. A traceless tensor therefore gives a conserved current for every conformal generator.