Discrete Symmetries and Localization in a Brane-world

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.

REVTeX, 8 pages, 1 EPS figure included

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• CP Violation from Dimensional Reduction: Examples in 4+1 Dimensions
• On unremovable divergencies in four-dimensional electrodynamics localized on a domain wall
• Geometric Origin of CP Violation in an Extra-Dimensional Brane World
• Consistency Conditions for Fields Localization on Braneworlds
• New fermions in the bulk
• More on divergences in brane world models
• Some problems with reproducing the Standard Model fields and interactions in five-dimensional warped brane world models
• A model of CP Violation from Extra Dimension
• The End of the Road for Bulk Fields in Warped Randall-Sundrum Braneworlds