AFT Gravitational Model - Unity of All Elementary Particles in Sp(12,C)

Abstract

A new unifying theory was recently proposed by the author in the publication "Arrangement field theory - beyond strings and loop gravity -". Such theory describes all fields (gravitational, gauge and matter fields) as entries in a matricial superfield which transforms in the adjoint representation of Sp(12,C). In this paper we show how this superfield is built and we introduce a new mechanism of symmetry breaking which doesn't need Higgs bosons.