On a matricial bidimensional behaviour of a D = 4n + 2 field theory

Full text follows: Based on the Weyl representation of the Dirac Γ matrices we are going to present a matricial Bidimensional structure of a D 4n + 2 Field Theories what we call splitting case. For this purpose we extract from that representation two matricial coordinates. We obtain a matricial relation between spinorial, scalar and vectorial fields in higher dimensions (4n + 2) to the its formulation in two dimensions. These two collective sets dimensions represent the two non-compact sets of directions where from a starting Minkowskian metric massless models it represents two massive lower dimension models. We obtain an unique matricial Kaluza-Klein compactification recipe to the models. Moreover an matricial holomorphic structure of the scalar and spinorial matricial fields is naturally merged. The energy-momentum tensor are also obtained. (author)