  The first measurements for rapidity-odd directed flow of $\Xi$ and $\Omega$
in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}=$ 27 and 200 GeV are reported.
The coalescence sum rule is examined with various combinations of hadrons where
all constituent quarks are produced, such as $K^{\!^-}\!\!({ \bar{u}}{s})$,
$\bar{p}({\bar{u}\bar{u}}{\bar{d}})$, $\bar{\Lambda}(\bar{u}\bar{d}\bar{s})$,
$\phi({s}{\bar{s}})$, $\bar{\Xi}^{+}(\bar{d}\bar{s}\bar{s})$,
${\Omega}^{-}(sss)$, and $\bar{\Omega}^{+}(\bar{s}\bar{s}\bar{s})$. For such
combinations, a systematic violation of the sum rule is observed with
increasing difference in the electric charge and the strangeness content of the
combinations. Measurements are compared with the calculations of A Multi-Phase
Transport (AMPT) model and Parton-Hadron String Dynamics (PHSD) model with
electromagnetic (EM) field. The PHSD model with EM field agrees with the
measurements within uncertainties.
