Journal of Theoretical and Computational Studies
DERIVING CONFORMAL GROUP FROM INFINITESIMAL DISPLACEMENT FIELD IN MINKOWSKI SPACE
A.A. Bama and Muslim
Nuclear and Atomic Physics Lab., Physics Department, Gadjah Mada University, Yogyakarta, Indonesia
Conformal group, which conserves causal structure only, has been derived from the displacement field of infinitesimal transformations in the Minkowski space. We can derive this group using the transformation formula connecting two coordinate systems, which involves 15 parameters taking the roles as the group elements. In addition we consider the group representations of the corresponding linear transformations accommodated in a 6-dimensional real space.