On the universality class of the conifold

Details On the universality class of the conifold On the universality class of the conifold

2001-10-19

arxiv.org/abs/hep-th/0110184v2

JHEP 0111:060,2001

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 6 figures. v2: Added references

Scientific paper

10.1088/1126-6708/2001/11/060

The possibility of having discrete degrees of freedom at singularities associated to `conifolds with discrete torsion' is studied. We find that the field theory of D-brane probes near these singularities is identical to ordinary conifolds, so that there are no additional discrete degrees of freedom located at the singularity. We shed light on how the obstructions to resolving the singularity are global topological issues rather that local obstrucions at the singularity itself. We also analyze the geometric transitions and duality cascades when one has fractional branes at the singularity and compute the moduli space of an arbitrary number of probes in the geometry. We provide some evidence for a conjecture that there are no discrete degrees of freedom localized at any Calabi-Yau singularity that can not be guessed from topological data away from the singularity.

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