Toric duality, Seiberg duality and Picard-Lefschetz transformations

✍ Scribed by S. Franco; A. Hanany

• Book ID: 105357321
• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 105 KB
• Volume: 51
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.200310091

✦ Synopsis

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.