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We study the dependence of Ly$\alpha$ escape from galaxies on UV continuumsize and luminosity using a sample of 40 Green Pea (GP) galaxies, which are thebest local analogs of high-redshift Ly$\alpha$-emitters (LAEs). We use theCosmic Origins Spectrograph near-ultraviolet images from the \textit{HubbleSpace Telescope} to measure the UV size and luminosity with $0.047''$ spatialresolution. Like most galaxies the GPs show a log-normal size distribution.They also show a positive correlation between size and UV-continuum luminosity.The slope of the size-continuum luminosity relation for GPs is consistent withthose of continuum-selected star-forming galaxies at low and high redshifts. Adistinctive feature of GPs is a very compact typical radius of 0.33 kpc with apopulation spread (1$\sigma$) of 0.19 kpc. The peak of the size distributionand the intercept of the size-luminosity relation of GPs are noticeably smallerthan those of continuum-selected star-forming galaxies at similar redshifts.There are statistically significant anti-correlations found between thecircularized half-light radius ($r_{\rm cir,50}$), the Ly$\alpha$ equivalentwidth (EW(Ly$\alpha$)), and the Ly$\alpha$ escape faction($f^{Ly\alpha}_{esc}$), suggesting that small UV-continuum radii are crucialfor Ly$\alpha$ emission. GPs and high-redshift LAEs have similar sizes, oncespatial resolution effects are properly considered. Our results show that acompact/small size is crucial for escape of Ly$\alpha$ photons, and thatLy$\alpha$-emitters show constant characteristic size independent of theirredshift.

The Compact UV Size of Green Pea Galaxies As Local Analogs of High-redshift Ly$\alpha$-Emitters