The cosmic web connection to the dark matter halo distribution through
  gravity
  This work investigates the connection between the cosmic web and the halo
distribution through the gravitational potential at the field level. We combine
three fields of research, cosmic web classification, perturbation theory
expansions of the halo bias, and halo (galaxy) mock catalogue making methods.
In particular, we use the invariants of the tidal field and the velocity shear
tensor as generating functions to reproduce the halo number counts of a
reference catalogue from full gravity calculations, populating the dark matter
field on a mesh well into the non-linear regime ($3\,h^{-1}\,{\rm Mpc}$
scales). Our results show an unprecedented agreement with the reference power
spectrum within 1% up to $k=0.72\,h\,{\rm Mpc}^{-1}$. By analysing the
three-point statistics on large scales (configurations of up to $k=0.2\,h\,{\rm
Mpc}^{-1}$), we find evidence for non-local bias at the 4.8 $\sigma$ confidence
level, being compatible with the reference catalogue. In particular, we find
that a detailed description of tidal anisotropic clustering on large scales is
crucial to achieve this accuracy at the field level. These findings can be
particularly important for the analysis of the next generation of galaxy
surveys in mock galaxy production.
