supersymmetric as follows from the set of supersymmetry projection operators associated to the various branes in the configuration. Its near-horizon limit has geometry $adS_2 \xx S^3 \xx S^3 \xx E^2$ and preserves $1/4$ of supersymmetry. The dilaton is a constant (depending on the charges) in this limit. For illustrative purposes we shall for this case write down explicitly the solution and its near-horizon limit. According to the harmonic function rule we get ds\^2=H\_f\^[-1]{}(H\_0 H\_4\^[(1)]{} H\_4\^[(2)]{})\^[-]{}(-dt\^2) +H\_f\^[-1]{}(H\_0 H\_4\^[(1)]{} H\_4\^[(2)]{})\^dx\_1\^2\
+H\_0\^[H\_4\^[(1)]{}]{}\^[-]{}[H\_4\^[(2)]{}]{}\^(dx\_2\^2++dx\_5\^2) +H\_0\^[H\_4\^[(1)]{}]{}\^[H\_4\^[(2)]{}]{}\^[-]{}(dx\_6\^2++dx\_9\^2) ,H\_[01I]{}=\_I H\_f\^[-1]{} ,   F\_[0I]{}=\_I H\_0\^[-1]{},\
F\_[1m’n’p’]{}=\_[m’n’p’q’]{}\_[q’]{}H\_4\^[(1)]{} ,    F\_[1mnp]{}=\_[mnpq]{}\_q H\_4\^[(2)]{},e\^[-2]{}=H\_f H\_0\^[-[32]{}]{}(H\_4\^[(1)]{} H\_4\^[(2)]{})\^,where $I$ runs over all $m\in\{2,3,4,5\}$ and $m'\in\{6,7,8,9\}$. The harmonic functions are given in terms of $H_4^{(1)}=1+{Q_1\over r'^2}$ and $H_4^{(2)}=1+{Q_2\over r^2}$ with $r^2 = x_2^2 +x_3^2+x_4^2+x_5^2$ and $r'^2=x_6^2+x_7^2+x_8^2+x_9^2$. In the near-horizon limit $r\rightarrow 0$ and $r'\rightarrow 0$ the configuration becomes ds\^2&=&(Q\_1 Q\_2)\^[-2]{}(rr’)\^4(-dt\^2)+dx\_1\^2 +[Q\_2r\^2]{}(dr\^2 +r\^2 dØ\_3\^2) +[Q\_1r’\^2]{}(dr’\^2 +r’\^2 dØ\_3’\^2) &=&e\^[-4A]{}(-dt\^2)+d\^2+dł\^2+dx\_1\^2+Q\_2 dØ\_3\^2 +Q\_1 dØ\_3’\^2, where in the second line the coordinate transformation =-A\^[-1]{} ,    ł=A\^[-1]{}, A=([1Q\_1]{}+[1Q\_2]{})\^ \[cot\] has been used. The resulting metric describes $adS_2 \xx E^2 \xx S^3 \xx S^3$. The $(t, \r)$ part of the metric is the standard form of the $adS_2$ metric in horospherical coordinates. The negative cosmological constant (the “radius” $R$ of $adS_3$) is equal to $\L=-R^2 