Geometric dualities in 4-D field theories and their 5-D interpretation

Franco, Sebastian; Hanany, Amihay

Abstract

We study four-dimensional = 1 gauge theories arising on D3-branes probing toric singularities. Toric dualities and flows between theories corresponding to different singularities are analyzed by encoding the geometric information into (p,q) webs. A new method for identifying quiver symmetries of the four-dimensional theories using the brane webs is developed. Five-dimensional theories are associated to the theories on the D3-branes by using (p,q) webs. This leads to a novel interpretation of Seiberg duality, which can be mapped to the crossing of curves of marginal stability in five dimensions.

Citation

Franco, S., & Hanany, A. (2003). Geometric dualities in 4-D field theories and their 5-D interpretation. Journal of High Energy Physics, 2003(04), Article 043. https://doi.org/10.1088/1126-6708/2003/04/043

• Journal Article Type: Article
• Publication Date: Apr 1, 2003
• Deposit Date: Jan 27, 2014
• Publicly Available Date: Feb 14, 2014
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2003
• Issue: 04
• Article Number: 043
• DOI: https://doi.org/10.1088/1126-6708/2003/04/043
• Keywords: Duality in Gauge Field Theories, Brane Dynamics in Gauge Theories, Conformal Field Models in String Theory.
• Public URL: https://durham-repository.worktribe.com/output/1444558