Deformations of toric singularities and fractional branes | Zendy

Agostino Butti | Zendy

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Deformations of toric singularities and fractional branes

Author(s) -

Agostino Butti

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/10/080

Subject(s) - moduli space , gravitational singularity , minkowski space , brane cosmology , gauge theory , toric variety , quiver , singularity , deformation theory , mathematics , calabi–yau manifold , rank (graph theory) , pure mathematics , physics , geometry , mathematical physics , mathematical analysis , combinatorics

Fractional branes added to a large stack of D3-branes at the singularity of aCalabi-Yau cone modify the quiver gauge theory breaking conformal invarianceand leading to different kinds of IR behaviors. For toric singularitiesadmitting complex deformations we propose a simple method that allows tocompute the anomaly free rank distributions in the gauge theory correspondingto the fractional deformation branes. This algorithm fits Altmann's rule ofdecomposition of the toric diagram into a Minkowski sum of polytopes. Moregenerally we suggest how different IR behaviors triggered by fractional branescan be classified by looking at suitable weights associated with the externallegs of the (p,q) web. We check the proposal on many examples and match in someinteresting cases the moduli space of the gauge theory with the deformedgeometry.Comment: 40 pages, 23 figures; typos correcte

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