Toric Duality, Seiberg Duality and Picard-Lefschetz Transformations
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.
Cite
@article{arxiv.hep-th/0212299,
title = {Toric Duality, Seiberg Duality and Picard-Lefschetz Transformations},
author = {Sebastian Franco and Amihay Hanany},
journal= {arXiv preprint arXiv:hep-th/0212299},
year = {2009}
}
Comments
7 pages, 5 figures. Based on the talk presented by A.H. at the 35th International Symposium Ahrenshoop on the Theory of Elementary Particles. v2: two references added