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A Trio of dualities: Walls, trees and cascades

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


Sebastian Franco

Amihay Hanany

Yang-Hui He


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.


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

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


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