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Trivializing and orbifolding the conifold's base

par Evslin, JARAH J ;Kuperstein, Stanislav
Référence The Journal of high energy physics, 2007, 4, 001
Publication Publié, 2007-04

Article révisé par les pairs

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Résumé :

The conifold is a cone over the space T1,1, which is known to be topologically S2 × S3. The coordinates used in the literature describe a sphere-bundle which can be proven to be topologically trivializable. We provide an explicit trivialization of this bundle, with simultaneous global coordinates for both spheres. Using this trivialization we are able to describe the topology of the base of several infinite families of chiral and non-chiral orbifolds of the conifold. We demonstrate that in each case the 2nd Betti number of the base matches the number of independent ranks in the dual quiver gauge theory. © SISSA 2007.