English

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

High Energy Physics - Theory 2020-04-24 v1

Abstract

We review main features of the pure N=1\mathcal N=1, D=4D=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 kN/3|k|\leq N/3, where kk is the membrane charge that sets the "distance" between two distinct SUSY vacua.

Cite

@article{arxiv.2004.11232,
  title  = {How $\mathcal N=1$, $D=4$ SYM domain walls look like},
  author = {Igor Bandos and Stefano Lanza and Dmitri Sorokin},
  journal= {arXiv preprint arXiv:2004.11232},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T15:03:20.932Z