Discrete Symmetries and Localization in a Brane-world

TL;DR

This paper investigates how discrete symmetries like charge conjugation, parity, and time reversal interact with fermion localization in warped extra-dimensional space-times, showing that CPT invariance can ensure localization when a topological scalar field is present.

Contribution

It demonstrates that fermion localization in brane-world models can be achieved through CPT invariance with a topological scalar field, linking symmetry properties to localization mechanisms.

Findings

Fermion localization is compatible with discrete symmetries in warped space-times.

Including a topological scalar field enables fermion localization via CPT invariance.

The study clarifies the role of symmetries in extra-dimensional models.

Abstract

Discrete symmetries are studied in warped space-times with one extra dimension. In particular, we analyze the compatibility of five- and four-dimensional charge conjugation, parity, time reversal and the orbifold symmetry Z_2 with localization of fermions on the four-dimensional brane-world and Lorentz invariance. We then show that, when a suitable topological scalar field (the ``kink'') is included, fermion localization is a consequence of (five-dimensional) CPT invariance.