Enhanced Worldvolume Supersymmetry and Intersecting Domain Walls in N=1 SQCD

TL;DR

This paper explores the enhanced supersymmetry and complex junction configurations of BPS domain walls in N=1 SQCD with multiple flavors, revealing new worldvolume dynamics and supersymmetry structures.

Contribution

It provides an explicit construction of the worldvolume superalgebra and describes novel two-wall junctions with preserved supersymmetry in N=1 SQCD.

Findings

Enhanced worldvolume supersymmetry for broken flavor symmetries

Explicit superalgebra construction for domain walls

Identification of 1/4-BPS two-wall junctions preserving two supercharges

Abstract

We study the worldvolume dynamics of BPS domain walls in N=1 SQCD 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 N=2 Kahler sigma model in 2+1D 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-BPS objects, but nonetheless preserve two supercharges when viewed as kinks on the wall worldvolume.