Domain wall junctions are 1/4 BPS states

1999/05/31 by Sean M. Carroll, Simeon Hellerman, Mark Trodden · 6 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1103/physrevd.61.065001

published as Phys.Rev. D61 (2000) 065001 · 18 pages, 4 figures, uses RevTeX. Brief comments concerning lattices of junctions added. Version to appear in Phys. Rev. D

arxiv created 1999/11/30 · openalex publication_date 2000/02/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study N=1 SUSY theories in four dimensions with multiple discrete vacua, which admit solitonic solutions describing segments of domain walls meeting at one-dimensional junctions. We show that there exist solutions preserving one-quarter of the underlying supersymmetry---a single Hermitian supercharge. We derive a BPS bound for the masses of these solutions and construct a solution explicitly in a special case. The relevance to the confining phase of N=1 SUSY Yang-Mills and the M-theory--SYM relationship is discussed.

Cited by

• Nonnormalizable zero modes on BPS junctions
• Deformed defects for scalar fields with polynomial interactions
• Manifest supersymmetry for BPS walls in =2 nonlinear sigma models
• BPS objects inN=2supersymmetric gauge theories
• Domain lines as fractional strings
• Leaving the BPS bound: Tunneling of classically saturated solitons