A Trio of dualities: Walls, trees and cascades

Franco, Sebastian; Hanany, Amihay; He, Yang-Hui

Abstract

We study the RG flow of = 1 world-volume gauge theories of D3-brane probes on certain singular Calabi-Yau threefolds. Taking the gauge theories out of conformality by introducing fractional branes, we compute the NSVZ beta-function and follow the subsequent RG flow in the cascading manner of Klebanov-Strassler. We study the duality trees that blossom from various Seiberg dualities and encode possible cascades. We observe the appearance of duality walls, a finite limit energy scale in the UV beyond which the dualization cascade cannot proceed. Diophantine equations of the Markov type characterize the dual phases of these theories. We discuss how the classification of Markov equations for different geometries into families relates the RG flows of the corresponding gauge theories.

Citation

Franco, S., Hanany, A., & He, Y. (2004). A Trio of dualities: Walls, trees and cascades. Fortschritte der Physik, 52(6-7), 540-547. https://doi.org/10.1002/prop.200310142

• Journal Article Type: Article
• Publication Date: Jun 1, 2004
• 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: 52
• Issue: 6-7
• Pages: 540-547
• DOI: https://doi.org/10.1002/prop.200310142