  We suggest a tetracritical fixed point to naturally occur in strongly
interacting theories. As a fundamental example we analyze the
temperature--quark chemical potential phase diagram of QCD with fermions in the
adjoint representation of the gauge group (i.e. adjoint QCD). Here we show that
such a non trivial multicritical point exists and is due to the interplay
between the spontaneous breaking of a global U(1) symmetry and the center group
symmetry associated to confinement. Our results demonstrate that taking
confinement into account is essential for understanding the critical behavior
as well as the full structure of the phase diagram of adjoint QCD. This is in
contrast to ordinary QCD where the center group symmetry associated to
confinement is explicitly broken when the quarks are part of the theory.
