How $\mathcal{N}=1$, $D=4$ SYM domain walls look like

Abstract

We review main features of the pure $\mathcal{N}=1$, $D=4$ SYM and its effective description by the Veneziano-Yankielowicz generalized sigma-model. We then indicate that the construction of BPS domain walls interpolating between different SYM vacua requires the presence of a dynamical membrane source. We will show how such a membrane is coupled to the SYM and present the explicit form of BPS domain walls which it creates in the Veneziano-Yankielowicz effective theory. In particular, we will describe 1/2 BPS domain wall configurations with $|k|\le N/3$, where $k$ is the membrane charge that sets the "distance" between two distinct SUSY vacua.

14 pages, 6 figures. Contribution to the proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2019) 31 August - 25 September 2019 Corfu, Greece. arXiv admin note: text overlap with arXiv:1905.02743

References in corpus (1)

• Superfield equations for the interacting system of D=4 N=1 supermembrane and scalar multiplet