Toric Duality, Seiberg Duality and Picard-Lefschetz Transformations

Details Toric Duality, Seiberg Duality and Picard-Lefschetz Transformations Toric Duality, Seiberg Duality and Picard-Lefschetz Transformations

2002-12-25

arxiv.org/abs/hep-th/0212299v2

Fortsch.Phys. 51 (2003) 738-744

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 5 figures. Based on the talk presented by A.H. at the 35th International Symposium Ahrenshoop on the Theory of Elemen

Scientific paper

10.1002/prop.200310091

Toric Duality arises as an ambiguity in computing the quiver gauge theory living on a D3-brane which probes a toric singularity. It is reviewed how, in simple cases Toric Duality is Seiberg Duality. The set of all Seiberg Dualities on a single node in the quiver forms a group which is contained in a larger group given by a set of Picard-Lefschetz transformations. This leads to elements in the group (sometimes called fractional Seiberg Duals) which are not Seiberg Duality on a single node, thus providing a new set of gauge theories which flow to the same universality class in the Infra Red.

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