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On Domain Walls of N=1 Supersymmetric Yang-Mills in Four Dimensions
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We study the BPS domain walls of supersymmetric Yang-Mills for arbitrary gauge group. We describe the degeneracies of domain walls interpolating between arbitrary pairs of vacua. A recently proposed large N duality sheds light on various aspects of such domain walls. In particular, for the case of G = SU(N) the domain walls correspond to wrapped D-branes giving rise to a 2+1 dimensional U(k) gauge theory on the domain wall with a Chern-Simons term of level N. This leads to a counting of BPS degeneracies of domain walls in agreement with expected results.
Forward citations
Cited by 4 Pith papers
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Half-BPS Boundaries and the RG-Wall of $\mathcal{N}=2$ $SU(N)$ SYM
A massive deformation of the T[SU(N)] theory is identified as the 3d SCFT realizing the RG-wall and half-BPS boundaries in 4d N=2 SU(N) SYM.
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AMSB in Truly Confining Gauge Theories
Adding small AMSB to t-confining SUSY gauge theories moves the ground state to a superpotential branch and predicts discrete and flavor symmetry breaking such as Z6 to Z2 and Z16 x SU(2) to SO(2).
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Domain Walls in Large-$N$ QCD$_3$
Fluctuating the composite domain-wall profile in the bosonic dual of large-N QCD3 produces a level-N gauged WZW theory on the wall, matching anomaly-inflow expectations.
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Degenerate Domain Walls in Supersymmetric Theories
In supersymmetric QCD with any number of flavors, the number of degenerate k-domain walls is exactly N!/((N-k)!k!), split into locally distinguishable and topologically distinct classes.
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