Enhanced worldvolume supersymmetry and intersecting domain walls inN=1supersymmetric QCD

Abstract

We study the worldvolume dynamics of $1/2$-supersymmetric domain walls in $\mathcal{N}=1$ supersymmetric QCD with ${N}_{f}=N$ flavors, and exhibit an enhancement of supersymmetry for the reduced moduli space associated with broken flavor symmetries. We provide an explicit construction of the worldvolume superalgebra which corresponds to an $\mathcal{N}=2$ K\"ahler sigma model in $2+1\mathrm{D}$ deformed by a potential, given by the norm squared of a U(1) Killing vector, resulting from the flavor symmetries broken by unequal quark masses. This framework leads to a worldvolume description of novel two-wall-junction configurations, which are $1/4$-supersymmetric objects, but nonetheless preserve two supercharges when viewed as kinks on the wall worldvolume.