On the universality class of the conifold | Zendy

David Berenstein | Zendy

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On the universality class of the conifold

Author(s) -

David Berenstein

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/11/060

Subject(s) - conifold , singularity , gravitational singularity , moduli space , essential singularity , singularity theory , isolated singularity , duality (order theory) , mathematics , physics , topology (electrical circuits) , pure mathematics , mathematical physics , brane cosmology , geometry , mathematical analysis , combinatorics

The possibility of having discrete degrees of freedom at singularitiesassociated to `conifolds with discrete torsion' is studied. We find that thefield theory of D-brane probes near these singularities is identical toordinary conifolds, so that there are no additional discrete degrees of freedomlocated at the singularity. We shed light on how the obstructions to resolvingthe singularity are global topological issues rather that local obstrucions atthe singularity itself. We also analyze the geometric transitions and dualitycascades when one has fractional branes at the singularity and compute themoduli space of an arbitrary number of probes in the geometry. We provide someevidence for a conjecture that there are no discrete degrees of freedomlocalized at any Calabi-Yau singularity that can not be guessed fromtopological data away from the singularity.Comment: 25 pages, 6 figures. v2: Added reference

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