A Note on Domain Walls and the Parameter Space of N=1 Gauge Theories

Details A Note on Domain Walls and the Parameter Space of N=1 Gauge Theories A Note on Domain Walls and the Parameter Space of N=1 Gauge Theories

2003-08-21

arxiv.org/abs/hep-th/0308144v2

JHEP 0310 (2003) 021

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, LaTeX, 6 eps figures; v2: references added

Scientific paper

10.1088/1126-6708/2003/10/021

We study the spectrum of BPS domain walls within the parameter space of N=1 U(N) gauge theories with adjoint matter and a cubic superpotential. Using a low energy description obtained by compactifying the theory on R^3 x S^1, we examine the wall spectrum by combining direct calculations at special points in the parameter space with insight drawn from the leading order potential between minimal walls, i.e those interpolating between adjacent vacua. We show that the multiplicity of composite BPS walls -- as characterised by the CFIV index -- exhibits discontinuities on marginal stability curves within the parameter space of the maximally confining branch. The structure of these marginal stability curves for large N appears tied to certain singularities within the matrix model description of the confining vacua.

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