Quantum Field Theory Conformal Group Theory Conformal Field Theory

The conformal group is the invariance group of geometry (which is not understood) the largest one. Physical applications are implied as discussed including reasons for interactions. The group structure as well as those of related groups are analyzed. An inhomogeneous group is a subgroup of a homogeneous one because of nonlinearities of the realization. Conservation of baryons (protons can't decay) is explained and proven. Reasons for various realizations so matrix elements of the Lorentz group given. The clearly relevant mass level formula is compared with experimental values. Questions implications and possibilities including for differential equations are raised.