Toric duality, Seiberg duality and Picard-Lefschetz transformations

Franco, Sebastian; Hanany, Amihay

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.

Citation

Franco, S., & Hanany, A. (2003). Toric duality, Seiberg duality and Picard-Lefschetz transformations. Fortschritte der Physik, 51(7-8), 738-744. https://doi.org/10.1002/prop.200310091

• Journal Article Type: Article
• Publication Date: Jul 1, 2003
• Deposit Date: Jan 27, 2014
• Publicly Available Date: Feb 14, 2014
• Journal: Fortschritte der Physik
• Print ISSN: 0015-8208
• Electronic ISSN: 1521-3978
• Publisher: Wiley-VCH Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 51
• Issue: 7-8
• Pages: 738-744
• DOI: https://doi.org/10.1002/prop.200310091
• Public URL: https://durham-repository.worktribe.com/output/1441520