### Abstract

Webs of domain walls are constructed as 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) states in d=4, N=2 supersymmetric U(NC) gauge theories with NF hypermultiplets in the fundamental representation. Webs of walls can contain any numbers of external legs and loops like (p,q) string/5-brane webs. We find the moduli space M of a 1/4 BPS equation for wall webs to be the complex Grassmann manifold. When moduli spaces of 1/2 BPS states (parallel walls) and the vacua are removed from M, the noncompact moduli space of genuine 1/4 BPS wall webs is obtained. All the solutions are obtained explicitly and exactly in the strong gauge coupling limit. In the case of Abelian gauge theory, we work out the correspondence between configurations of wall web and the moduli space CPNF-1.

Original language | English |
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Article number | 085004 |

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

Volume | 72 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2005 Oct 15 |

Externally published | Yes |

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### 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*,

*72*(8), [085004]. https://doi.org/10.1103/PhysRevD.72.085004

**Webs of domain walls in supersymmetric gauge theories.** / Eto, Minoru; Isozumi, Youichi; Nitta, Muneto; Ohashi, Keisuke; Sakai, Norisuke.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 72, no. 8, 085004. https://doi.org/10.1103/PhysRevD.72.085004

}

TY - JOUR

T1 - Webs of domain walls in supersymmetric gauge theories

AU - Eto, Minoru

AU - Isozumi, Youichi

AU - Nitta, Muneto

AU - Ohashi, Keisuke

AU - Sakai, Norisuke

PY - 2005/10/15

Y1 - 2005/10/15

N2 - Webs of domain walls are constructed as 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) states in d=4, N=2 supersymmetric U(NC) gauge theories with NF hypermultiplets in the fundamental representation. Webs of walls can contain any numbers of external legs and loops like (p,q) string/5-brane webs. We find the moduli space M of a 1/4 BPS equation for wall webs to be the complex Grassmann manifold. When moduli spaces of 1/2 BPS states (parallel walls) and the vacua are removed from M, the noncompact moduli space of genuine 1/4 BPS wall webs is obtained. All the solutions are obtained explicitly and exactly in the strong gauge coupling limit. In the case of Abelian gauge theory, we work out the correspondence between configurations of wall web and the moduli space CPNF-1.

AB - Webs of domain walls are constructed as 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) states in d=4, N=2 supersymmetric U(NC) gauge theories with NF hypermultiplets in the fundamental representation. Webs of walls can contain any numbers of external legs and loops like (p,q) string/5-brane webs. We find the moduli space M of a 1/4 BPS equation for wall webs to be the complex Grassmann manifold. When moduli spaces of 1/2 BPS states (parallel walls) and the vacua are removed from M, the noncompact moduli space of genuine 1/4 BPS wall webs is obtained. All the solutions are obtained explicitly and exactly in the strong gauge coupling limit. In the case of Abelian gauge theory, we work out the correspondence between configurations of wall web and the moduli space CPNF-1.

UR - http://www.scopus.com/inward/record.url?scp=29744465094&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29744465094&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.72.085004

DO - 10.1103/PhysRevD.72.085004

M3 - Article

VL - 72

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 8

M1 - 085004

ER -