  The simplest spin-orbital model can host a nematic spin-orbital liquid state
on the triangular lattice. We provide clear evidence that the ground state of
the SU(4) Kugel-Khomskii model on the triangular lattice can be well described
by a "single" Gutzwiller projected wave function with an emergent parton Fermi
surface, despite it exhibits strong finite-size effect in quasi-one-dimensional
cylinders. The finite-size effect can be resolved by the fact that the parton
Fermi surface consists of open orbits in the reciprocal space. Thereby, a
stripy liquid state is expected in the two-dimensional limit, which preserves
the SU(4) symmetry while breaks the translational symmetry by doubling the unit
cell along one of the lattice vector directions. It is indicative that these
stripes are critical and the central charge is $c=3$, in agreement with the
SU(4)$_1$ Wess-Zumino-Witten conformal field theory. All these results are
consistent with the Lieb-Schultz-Mattis-Oshikawa-Hastings theorem.
