Orbifold resolutions with general profile

Details Orbifold resolutions with general profile Orbifold resolutions with general profile

2005-06-24

arxiv.org/abs/hep-th/0506210v2

Class.Quant.Grav. 23 (2006) 1217-1240

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 3 figures, typos corrected, references added

Scientific paper

10.1088/0264-9381/23/4/010

A very general class of resolved versions of the C/Z_N, T^2/Z_N and S^1/Z_2 orbifolds is considered and the free theory of 6D chiral fermions studied on it. As the orbifold limit is taken, localized 4D chiral massless fermions are seen to arise at the fixed points. Their number, location and chirality is found to be independent on the detailed profile of the resolving space and to agree with the result of hep-th/0409229, in which a particular resolution was employed. As a consistency check of the resolution procedure, the massive equation is numerically studied. In particular, for S^1/Z_2, the "resolved" mass--spectrum and wave functions in the internal space are seen to correctly reproduce the usual orbifold ones, as the orbifold limit is taken.

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