D-brane gauge theories from toric singularities of the form $C^3/\Gamma$ and $C^4/\Gamma$

Abstract

We discuss examples of D-branes probing toric singularities, and the computation of their world-volume gauge theories from the geometric data of the singularities. We consider several such examples of D-branes on partial resolutions of the orbifolds ${\mathbf{C}}^3/{\mathbf{Z}}_2\times {\mathbf{Z}}_2$,${\mathbf{C}}^3/{\mathbf{Z}}_2\times {\mathbf{Z}}_3$ and ${\mathbf{C}}^4/{\mathbf{Z}}_2\times {\mathbf{Z}}_2\times {\mathbf{Z}}_2$.

34+1 pages, References added, Version to appear in Nuclear Physics B

References in corpus (2)

• Orientifolding the conifold
• Branes at $\C^4/\Ga$ Singularity from Toric Geometry

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• A Note on Dimer Models and D-brane Gauge Theories
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• A relation between moduli space of D-branes on orbifolds and Ising model