  We propose field theories for a deconfined quantum critical point in $SU(3)$
antiferromagnets on the triangular lattice. In particular we consider the
continuous transition between a magnetic, three- sublattice color-ordered phase
and a trimerized $SU(3)$ singlet phase. Starting from the magnetically ordered
state we derive a critical theory in terms of fractional bosonic degrees of
freedom, in close analogy to the well-developed description of the $SU(2)$ Neel
- valence bond solid (VBS) transition on the square lattice. Our critical
theory consists of three coupled $CP^2$ models and we study its fixed point
structure using a functional renormalization group approach in a suitable large
$N$ limit. We find a stable critical fixed point and estimate its critical
exponents, thereby providing an example of deconfined criticality beyond the
universality class of the $CP^N$ model. In addition we present a complementary
route towards the critical field theory by studying topological defects of the
trimerized $SU(3)$ singlet phase.
