Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-09-23
Class.Quant.Grav. 22 (2005) 4621-4650
Physics
High Energy Physics
High Energy Physics - Theory
37 pages, 5 figures; v2: minor improvements and references added
Scientific paper
10.1088/0264-9381/22/21/010
We study the Dirac equation of chiral fermions on a regularized version of the two-dimensional T^2/Z_2 orbifold, where the conical singularities are replaced by suitable spherical caps with constant curvature. This study shows how localized and bulk fermions arise in the orbifold as the resolved space approaches the orbifold limit. Our analysis also shows that not all possible fermion configurations on T^2/Z_2 admit such a simple resolution. We focus our study to a fermion coupled to a U(1) gauge field. It is explicitly shown how a resolution of the orbifold puts severe constraints on the allowed chiralities and U(1) charges of the massless four dimensional fermions, localized or not, that can be present in the orbifold. The limit in which T^2/Z_2 (and its corresponding resolved space) collapses to S^1/Z_2 is also studied in detail.
Serone Marco
Wulzer Andrea
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