Duality Walls, Duality Trees and Fractional Branes

dc.creatorFranco, Sebastian
dc.creatorHanany, Amihay
dc.creatorHe, Yang-Hui
dc.creatorKazakopoulos, Pavlos
dc.date2003-06-10
dc.date.accessioned2026-07-07T04:15:20Z
dc.date.available2026-07-07T04:15:20Z
dc.descriptionWe compute the NSVZ beta functions for N = 1 four-dimensional quiver theories arising from D-brane probes on singularities, complete with anomalous dimensions, for a large set of phases in the corresponding duality tree. While these beta functions are zero for D-brane probes, they are non-zero in the presence of fractional branes. As a result there is a non-trivial RG behavior. We apply this running of gauge couplings to some toric singularities such as the cones over Hirzebruch and del Pezzo surfaces. We observe the emergence in string theory, of ``Duality Walls,'' a finite energy scale at which the number of degrees of freedom becomes infinite, and beyond which Seiberg duality does not proceed. We also identify certain quiver symmetries as T-duality-like actions in the dual holographic theory.
dc.description36+1 pages, 20 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0306092
dc.identifierhttp://arxiv.org/abs/hep-th/0306092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51965
dc.subjectHigh Energy Physics - Theory
dc.titleDuality Walls, Duality Trees and Fractional Branes
dc.typetext

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