Bitetrad as geometrodynamical variable for \(GL(2,\mathbb{C})\)-invariant models of mutually interacting gravitational and bispinor fields (Q1611473)

The author presents a model of mutually interacting gravitational and bispinor field within a \(GL(2,\mathbb{C})\) framework. Within this framework, the bispinor field describes the fermionic degrees of freedom, while the bitetrad field describes the gravitational degrees of freedom. Contents include: an introduction, algebraic preliminaries; bispinor and bitetrad fields, and spinorial connections; the Lagrangian; reduction of the geometrical degrees of freedom, and the dynamical Dirac matrices.