Title: Chordal SLE$_6$ explorations of a quantum disk,
Abstract: We consider a particular type of $\sqrt{8/3}$-Liouville quantum gravity
surface called a doubly marked quantum disk (equivalently, a Brownian disk)
decorated by an independent chordal SLE$_6$ curve $\eta$ between its marked
boundary points. We obtain descriptions of the law of the quantum surfaces
parameterized by the complementary connected components of $\eta([0,t])$ for
each time $t \geq 0$ as well as the law of the left/right $\sqrt{8/3}$-quantum
boundary length process for $\eta$.