Elevation or Suppression? The Resolved Star Formation Main Sequence of
  Galaxies with Two Different Assembly Modes
  We investigate the spatially-resolved star formation main sequence in
star-forming galaxies (SFGs) using Integral Field Spectroscopic (IFS)
observations from the Mapping Nearby Galaxies at the Apache Point Observatory
(MaNGA) survey. We demonstrate that the correlation between the stellar mass
surface density ($\Sigma_*$) and star formation rate surface density
($\Sigma_{\mathrm{SFR}}$) holds down to sub-galactic scale, leading to the
Sub-Galactic Main Sequence (SGMS). By dividing galaxies into two populations
based on their recent mass assembly modes, we find the resolved main sequence
in galaxies with 'outside-in' mode is steeper than that in galaxies with
'inside-out' mode. This is also confirmed on a galaxy-by-galaxy level, where we
find the distributions of SGMS slopes for individual galaxies are clearly
separated for the two populations. When normalizing and stacking the SGMS of
individual galaxies on one panel for the two populations, we find the inner
regions of galaxies with 'inside-out' mode statistically exhibit a suppression
in star formation, with a less significant trend in the outer regions of
galaxies with 'outside-in' mode. In contrast, the inner regions of galaxies
with 'outside-in' mode and the outer regions of galaxies with 'inside-out' mode
follow a slightly sub-linear scaling relation with a slope $\sim$0.9, which is
in good agreement with previous findings, suggesting that they are experiencing
a universal regulation without influences of additional physical processes.
