Imperial College London

Amihay Hanany

Faculty of Natural SciencesDepartment of Physics

Professor of Theoretical Physics



+44 (0)20 7594 3634a.hanany




611Huxley BuildingSouth Kensington Campus






BibTex format

author = {Franco, S and Hanany, A and He, Y-H and Kazakopoulos, P},
title = {Duality Walls, Duality Trees and Fractional Branes},
url = {},
year = {2003}

RIS format (EndNote, RefMan)

AB - We compute the NSVZ beta functions for N = 1 four-dimensional quiver theoriesarising from D-brane probes on singularities, complete with anomalousdimensions, for a large set of phases in the corresponding duality tree. Whilethese beta functions are zero for D-brane probes, they are non-zero in thepresence 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 asthe cones over Hirzebruch and del Pezzo surfaces. We observe the emergence instring theory, of ``Duality Walls,'' a finite energy scale at which the numberof degrees of freedom becomes infinite, and beyond which Seiberg duality doesnot proceed. We also identify certain quiver symmetries as T-duality-likeactions in the dual holographic theory.
AU - Franco,S
AU - Hanany,A
AU - He,Y-H
AU - Kazakopoulos,P
PY - 2003///
TI - Duality Walls, Duality Trees and Fractional Branes
UR -
ER -