An interpretation of multiplier ideals via tight closure

Hara and Smith independently proved that in a normal $\text{mQ}$-Gorenstein ring of characteristic $p\gg 0$, the test ideal coincides with the multiplier ideal associated to the trivial divisor. We extend this result for a pair $(R, \Delta)$ofanormalring$R$andaneffective$\mQ$-Weildivisor$\Delta$on$\Spec R$. As a corollary, we obtain the equivalence of strongly F-regular pairs and klt pairs.