  We consider a Horava theory that has a consistent structure of constraints
and propagates two physical degrees of freedom. The Lagrangian includes the
terms of Blas, Pujolas and Sibiryakov. The theory can be obtained from the
general Horava's formulation by setting lambda = 1/3. This value of lambda is
protected in the quantum formulation of the theory by the presence of a
constraint. The theory has two second-class constraints that are absent for
other values of lambda. They remove the extra scalar mode. There is no
strong-coupling problem in this theory since there is no extra mode. We perform
explicit computations on a model that put together a z = 1 term and the IR
effective action. We also show that the lowest-order perturbative version of
the IR effective theory has a dynamics identical to the one of linearized
general relativity. Therefore, this theory is smoothly recovered at the deepest
IR without discontinuities in the physical degrees of freedom.
