The dust budget crisis in high-redshift submillimetre galaxies
  We apply a chemical evolution model to investigate the sources and evolution
of dust in a sample of 26 high-redshift ($z>1$) submillimetre galaxies (SMGs)
from the literature, with complete photometry from ultraviolet to the
submillimetre. We show that dust produced only by low-intermediate mass stars
falls a factor 240 short of the observed dust masses of SMGs, the well-known
`dust-budget crisis'. Adding an extra source of dust from supernovae can
account for the dust mass in 19 per cent of the SMG sample. Even after
accounting for dust produced by supernovae the remaining deficit in the dust
mass budget provides support for higher supernova yields, substantial grain
growth in the interstellar medium or a top-heavy IMF. Including efficient
destruction of dust by supernova shocks increases the tension between our model
and observed SMG dust masses. The models which best reproduce the physical
properties of SMGs have a rapid build-up of dust from both stellar and
interstellar sources and minimal dust destruction. Alternatively, invoking a
top-heavy IMF or significant changes in the dust grain properties can solve the
dust budget crisis only if dust is produced by both low mass stars and
supernovae and is not efficiently destroyed by supernova shocks.
