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 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics
Cite this
All exact solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield equation. / Isozumi, Youichi; Nitta, Muneto; Ohashi, Keisuke; Sakai, Norisuke.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 71, No. 6, 065018, 15.03.2005, p. 1-6.Research output: Contribution to journal › Article
}
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 -