  Every conformal field theory has the symmetry of taking each field to its
adjoint. We consider here the quotient (orbifold) conformal field theory
obtained by twisting with respect to this symmetry. A general method for
computing such quotients is developed using the coulomb gas representation.
Examples of parafermions, $SU(2)$ current algebra and the $N=2$ minimal models
are described explicitly. The partition functions and the dimensions of the
disordered fields are given. This result is a tool for finding new theories.
