Extreme, young stellar populations are considered the primary contributor to cosmic re-ionization. How Lyman-continuum (LyC) escapes these galaxies remains highly elusive, and it is challenging to observe this process in actual LyC emitters without resolving the relevant physical scales. We investigate the Sunburst Arc: a strongly lensed, LyC emitter at $z =2.37$ that reveals an exceptionally small scale (tens of parsecs) region of high LyC escape. The small ($<$ 100 pc) LyC leaking region has extreme properties: a very blue UV slope ($\beta = -2.9 \pm 0.1$), high ionization state ([O III]$\lambda 5007$/[O II]$\lambda 3727 $ $= 11 \pm 3$ and [O III]$\lambda 5007$/H$\beta$ $=6.8 \pm 0.4$), strong oxygen emission (EW([O III]) $= 1095 \pm 40 \ \r{A}$), and high Lyman-$\alpha$ escape fraction ($0.3 \pm 0.03$), none of which are found in non-leaking regions of the galaxy. The leaking region's UV slope is consistent with approximately ``pure'' stellar light that is minimally contaminated by surrounding nebular continuum emission or extinguished by dust. These results suggest a highly anisotropic LyC escape process such that LyC is produced and escapes from a small, extreme starburst region where the stellar feedback from an ionizing star cluster creates one or more ``pencil beam'' channels in the surrounding gas through which LyC can directly escape. Such anisotropic escape processes imply that random sightline effects drive the significant scatters between measurements of galaxy properties and LyC escape fraction, and that strong lensing is a critical tool for resolving the processes that regulate the ionizing budget of galaxies for re-ionization.
Comment: 19 pages, 7 figures, 3 tables, Accepted for publication by ApJL