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Lyman-alpha (Ly$\alpha$) emission from galaxies can be used to trace neutralhydrogen in the epoch of reionization, however, there is a degeneracy betweenthe attenuation of Ly$\alpha$ in the intergalactic medium (IGM) and the lineprofile emitted from the galaxy. Large shifts of Ly$\alpha$ redward of systemicdue to scattering in the interstellar medium can boost Ly$\alpha$ transmissionin the IGM during reionization. The relationship between Ly$\alpha$ velocityoffset from systemic and other galaxy properties is not well-established athigh-redshift or low luminosities, due to the difficulty of observing emissionlines which trace systemic redshift. Rest-frame optical spectroscopy withJWST/NIRSpec has opened a new window into understanding of Ly$\alpha$ at z>3.We present a sample of 12 UV-faint galaxies ($-20 \lesssim$ MUV $\lesssim -16$)at $3 \lesssim z \lesssim 6$, with Ly$\alpha$ velocity offsets, $\Deltav_{\mathrm{Ly}\alpha}$, measured from VLT/MUSE and JWST/NIRSpec from theGLASS-JWST Early Release Program. We find median $\Delta v_{\mathrm{Ly}\alpha}$of 205 km s$^{-1}$ and standard deviation 75 km s$^{-1}$, compared to 320 and170km s$^{-1}$ for MUV < -20 galaxies in the literature. Our new sampledemonstrates the previously observed trend of decreasing Ly$\alpha$ velocityoffset with decreasing UV luminosity and optical line velocity dispersion,extends to MUV $\gtrsim$ -20, consistent with a picture where the Ly$\alpha$profile is shaped by gas close to the systemic redshift. Our results imply thatduring reionization Ly$\alpha$ from UV-faint galaxies will be preferentiallyattenuated, but that detecting Ly$\alpha$ with low $\Deltav_{\mathrm{Ly}\alpha}$ can be an indicator of large ionized bubbles.

Early Results from GLASS-JWST XXIII: The transmission of Lyman-alpha from UV-faint z ~ 3-6 galaxies