On Duality Walls in String Theory

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  • 28 January 2003
Abstract
Following the RG flow of an N=1 quiver gauge theory and applying Seiberg duality whenever necessary defines a duality cascade, that in simple cases has been understood holographically. The quiver living on branes at a generic threefold singularity has Lorentzian signature and the Seiberg dualities hit a duality wall at a certain energy scale, signaled by an exponential rise in the number of degrees of freedom. We here study in detail the cascades and walls on branes at the C_3/Z_3 orbifold. We determine, as a function of the initial conditions of the (inverse) cascade, the energy scale of the wall as well as the critical exponent governing the approach to the wall. The position of the wall is piecewise linear, while the exponent appears to be constant. We comment on the possible physical interpretation of these results.

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