D-brane gauge theories from toric singularities of the form \(\mathbb{C}^3/\Gamma\) and \(\mathbb{C}^4/\Gamma\). (English) Zbl 0972.81139

Summary: 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 \(\mathbb{C}^3/\mathbb{Z}_2\times\mathbb{Z}_2\), \(\mathbb{C}^3/\mathbb{Z}_2\times\mathbb{Z}_3\) and \(\mathbb{C}^4/\mathbb{Z}_2\times\mathbb{Z}_2\times\mathbb{Z}_2\).


81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T13 Yang-Mills and other gauge theories in quantum field theory
14J81 Relationships between surfaces, higher-dimensional varieties, and physics
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