A Trio of dualities: Walls, trees and cascades

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

doi:10.1002/prop.200310142

A Trio of dualities: Walls, trees and cascades

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

Authors

Sebastian Franco

Amihay Hanany

Yang-Hui He

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