Physics with Antiprotons and Antihydrogen - Theory Overview

This work provides an overview of some theoretical and conceptual ideas regarding CPT tests with antimatter. In particular, interpretational challenges of CPT tests outside a proper framework are highlighted. The ensuing need for taking into account the connection between CPT symmetry, translation invariance, and Lorentz symmetry is reviewed. This connection is properly addressed within the SME framework, whose construction is briefly discussed.