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In the solar photosphere, many properties of coronal holes (CHs) are notknown, especially vector magnetic fields. Using observations from\emph{Hinode}, we investigate vector magnetic fields, current densities andcurrent helicities in two CHs and compare them with two normal quiet regions(QRs) for the first time. We find that, in the CHs and QRs, the areas wherelarge current helicities are located are mainly co-spatial with strong verticaland horizontal field elements both in shape and location. In the CHs,horizontal magnetic fields, inclination angles, current densities and currenthelicities are larger than those in the QRs. The mean vertical current densityand current helicity, averaged over all the observed areas including the CHsand QRs, are approximately 0.008 A m$^{-2}$ and 0.005 G$^{2}$ m$^{-1}$,respectively. The mean current density in magnetic flux concentrations wherethe vertical fields are stronger than 100 G is as large as 0.012 $\pm$ 0.001 Am$^{-2}$, consistent with that in the flare productive active regions. Ourresults imply that the magnetic fields, especially the strong fields, both inthe CHs and QRs are nonpotential.

Vector Magnetic Fields and Current Helicities in Coronal Holes and Quiet Regions