Orbifold resolutions with general profile
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2005
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Abstract
A very general class of resolved versions of the C/ZN, T 2/ZN and S1/Z2 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 [1], in which a particular resolution was employed. As a consistency check of the resolution procedure, the massive equation is numerically studied. In particular, for S1/Z2, 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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Classical and Quantum Gravity 23 (2006) 1217-1239