Domain walls in supersymmetric Yang-Mills theories

Vadim S. Kaplunovsky*, Jacob Sonnenschein, Shimon Yankielowicz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

53 Scopus citations


We study BPS-saturated domain walls in the supersymmetric SU (2) gauge theory. For a theory with a very light adjoint scalar (mass m ≲ Λ/400) we use the perturbed script N = 2 Seiberg- Witten theory to calculate the actual field configuration of the domain wall. The wall has a sandwich-like five-layer structure of three distinct phases-electric confinement, Coulomb and oblique confinement - separated by two separate transition regions. For larger scalar masses, the three-phase structure disappears and the Seiberg-Witten theory becomes inadequate because of two major problems: First, the higher-derivative interactions between the light fields become relevant and second, both the magnetic monopole condensate and the dyon condensate show up in the same region of space, a phenomenon indescribable in terms of a local field theory. Nevertheless, we argue that the BPS-saturated domain wall continues to exist in this regime and give a qualitative description of the scalar and gaugino condensates. Finally, we discuss the domain walls in MQCD and translate the BPS conditions into coupled non-linear differential equations.

Original languageEnglish
Pages (from-to)209-245
Number of pages37
JournalNuclear Physics B
Issue number1-2
StatePublished - 12 Jul 1999


FundersFunder number
Robert A. Welsh Foundation
National Science Foundation#PHY-95-11632
United States-Israel Binational Science Foundation


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