BOSS Great Wall: morphology, luminosity, and mass
  We study the morphology, luminosity and mass of the superclusters from the
BOSS Great Wall (BGW), a recently discovered very rich supercluster complex at
the redshift $z = 0.47$. We have employed the Minkowski functionals to quantify
supercluster morphology. We calculate supercluster luminosities and masses
using two methods. Firstly, we used data about the luminosities and stellar
masses of high stellar mass galaxies with $\log(M_*/h^{-1}M_\odot) \geq 11.3$.
Secondly, we applied a scaling relation that combines morphological and
physical parameters of superclusters to obtain supercluster luminosities, and
obtained supercluster masses using the mass-to-light ratios found for local
rich superclusters. We find that the BGW superclusters are very elongated
systems, with shape parameter values of less than $0.2$. This value is lower
than that found for the most elongated local superclusters. The values of the
fourth Minkowski functional $V_3$ for the richer BGW superclusters ($V_3 = 7$
and $10$) show that they have a complicated and rich inner structure. We
identify two Planck SZ clusters in the BGW superclusters, one in the richest
BGW supercluster, and another in one of the poor BGW superclusters. The
luminosities of the BGW superclusters are in the range of $1 -
8\times~10^{13}h^{-2}L_\odot$, and masses in the range of $0.4 -
2.1\times~10^{16}h^{-1}M_\odot$. Supercluster luminosities and masses obtained
with two methods agree well. We conclude that the BGW is a complex of massive,
luminous and large superclusters with very elongated shape. The search and
detailed study, including the morphology analysis of the richest superclusters
and their complexes from observations and simulations can help us to understand
formation and evolution of the cosmic web.
