All exact solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield equation

Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai

Research output: Contribution to journalArticlepeer-review

157 Citations (Scopus)


We study a 1/4 Bogomol'nyi-Prasad-Sommerfield equation containing configurations made of walls, vortices, and monopoles in the Higgs phase, using the supersymmetric U(NC) gauge theories with eight supercharges with NF fundamental hypermultiplets. We find the total moduli space to be the quotient of the space of holomorphic maps from the complex plane to the N C x NF matrix divided by the space of the holomorphic maps to GL(NC C). We obtain all possible solutions exactly in the strong coupling limit where the moduli space reduces to the space of all holomorphic maps from a complex plane to the wall moduli space found recently, the deformed complex Grassmann manifold. Monopoles in the Higgs phase are also found in U(1) gauge theory.

Original languageEnglish
Article number065018
Pages (from-to)1-6
Number of pages6
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number6
Publication statusPublished - 2005 Mar 15
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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