  We consider uniform spanning tree (UST) in topological rectangles with
alternating boundary conditions. The Peano curves associated to the UST
converge weakly to hypergeometric SLE$_8$, denoted by hSLE$_8$. From the
convergence result, we obtain the continuity and reversibility of hSLE$_8$ as
well as an interesting connection between SLE$_8$ and hSLE$_8$. The loop-erased
random walk (LERW) branch in the UST converges weakly to SLE$_2(-1, -1; -1,
-1)$. We also obtain the limiting joint distribution of the two end points of
the LERW branch.
