English

Domain Wall Junctions are 1/4-BPS States

High Energy Physics - Theory 2009-10-31 v4

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.

Keywords

Cite

@article{arxiv.hep-th/9905217,
  title  = {Domain Wall Junctions are 1/4-BPS States},
  author = {Sean M. Carroll and Simeon Hellerman and Mark Trodden},
  journal= {arXiv preprint arXiv:hep-th/9905217},
  year   = {2009}
}

Comments

18 pages, 4 figures, uses RevTeX. Brief comments concerning lattices of junctions added. Version to appear in Phys. Rev. D

R2 v1 2026-07-22T16:15:41.407Z