A randomly chosen star in todays Universe is most likely to live in a galaxy with a stellar mass between that of the Milky Way and Andromeda. Yet it remains uncertain how the structural evolution of these bulge-disk systems proceeded. Most of the unobscured star formation we observe building Andromdeda progenitors at 0.7<z<1.5 occurs in disks, but >90% of their star formation is reprocessed by dust and remains unaccounted for. Here we map 500micron dust continuum emission in an Andromeda progenitor at z=1.25 to probe where it is growing through dust-obscured star formation. Combining resolved dust measurements from the NOEMA interferometer with Hubble Space Telescope Halpha maps and multicolor imaging (including new UV data from the HDUV survey), we find a bulge growing by dust-obscured star formation: while the unobscured star formation is centrally suppressed, the dust continuum is centrally concentrated, filling in the ring-like structures evident in the Halpha and UV emission. Reflecting this, the dust emission is more compact than the optical/UV tracers of star formation with r_e(dust)=3.4kpc, r_e(Halpha)/r_e(dust)=1.4, and r_e(UV)/r_e(dust)=1.8. Crucially, however, the bulge and disk of this galaxy are building simultaneously; although the dust emission is more compact than the rest-optical emission (r_e(optical)/r_e(dust)=1.4), it is somewhat less compact than the stellar mass (r_e(M_*)/r_e(dust)=0.9). Taking the 500micron emission as a tracer of star formation, the expected structural evolution of this galaxy can be accounted for by star formation: it will grow in size by Delta(r_e)/Delta(M_*)~0.3 and central surface density by Delta(Sigma_cen)/Delta(M_*)~0.9. Finally, our observations are consistent with a picture in which merging and disk instabilities drive gas to the center of galaxies, boosting global star formation rates above the main sequence and building bulges.
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