Toric duality, Seiberg duality and PicardLefschetz transformations
Abstract
Toric Duality arises as an ambiguity in computing the quiver gauge theory living on a D3brane 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 PicardLefschetz 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.
 Publication:

Fortschritte der Physik
 Pub Date:
 July 2003
 DOI:
 10.1002/prop.200310091
 arXiv:
 arXiv:hepth/0212299
 Bibcode:
 2003ForPh..51..738F
 Keywords:

 High Energy Physics  Theory
 EPrint:
 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