Non-Linear Affine Embedding of the Dirac Field from the Multiplicity-Free SL(4,R) Unirreps

Abstract

The correspondence between the linear multiplicity-free unirreps of SL(4, R) studied by Ne'eman and {S}ija{c}ki and the non-linear realizations of the affine group is worked out. The results obtained clarify the inclusion of spinorial fields in a non-linear affine gauge theory of gravitation.

13 pages, plain TeX, macros included

References in corpus (4)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Black Holes with Weyl Charge and Non-Riemannian Waves
• Avoiding degenerate coframes in an affine gauge approach to quantum gravity
• Ordinary Matter in Nonlinear Affine Gauge Theories of Gravitation

Cited by in corpus (4)

• Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity
• The role of translational invariance in non linear gauge theories of gravity
• Dynamical variables in Gauge-Translational Gravity
• A perturbation approach to Translational Gravity