### Abstract

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(N<inf>C</inf>) 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 <inf>C</inf> x N<inf>F</inf> matrix divided by the space of the holomorphic maps to GL(N<inf>C</inf> 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 language | English |
---|---|

Article number | 065018 |

Pages (from-to) | 1-6 |

Number of pages | 6 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 71 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2005 Mar 15 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*71*(6), 1-6. [065018]. https://doi.org/10.1103/PhysRevD.71.065018

**All exact solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield equation.** / Isozumi, Youichi; Nitta, Muneto; Ohashi, Keisuke; Sakai, Norisuke.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 71, no. 6, 065018, pp. 1-6. https://doi.org/10.1103/PhysRevD.71.065018

}

TY - JOUR

T1 - All exact solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield equation

AU - Isozumi, Youichi

AU - Nitta, Muneto

AU - Ohashi, Keisuke

AU - Sakai, Norisuke

PY - 2005/3/15

Y1 - 2005/3/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=18444416336&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=18444416336&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.71.065018

DO - 10.1103/PhysRevD.71.065018

M3 - Article

AN - SCOPUS:18444416336

VL - 71

SP - 1

EP - 6

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 6

M1 - 065018

ER -