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arXiv · hep-th/0212299

Toric Duality, Seiberg Duality and Picard-Lefschetz Transformations

Sebastian Franco·Amihay Hanany
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Abstract

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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Sebastian Franco, Amihay Hanany. 2003-01-15. Toric Duality, Seiberg Duality and Picard-Lefschetz Transformations. https://doi.org/10.1002/prop.200310091

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