Horizontal steal involves blood flowing to nonstenosed from stenosed territory, resulting from reduced collateral flow into the stenosed terriotry because of depressurization of vessels supplying the collaterals, which results from increased run off.
Vertical steal occurs because vasodilator induced depressurization of the microciruclation causes subendocardial vessels to collapse under the greater extravascular pressure in this region and "stealing" flow to subepicardium from the subendocardium.