All exact solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield equation
May, 2004
10 pages
Published in:
- Phys.Rev.D 71 (2005) 065018
e-Print:
- hep-th/0405129 [hep-th]
Report number:
- TIT-HEP-523
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Abstract:
We obtain all possible solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield equation exactly, containing configurations made of walls, vortices and monopoles in the Higgs phase. We use supersymmetric U(N_C) gauge theories with eight supercharges with N_F fundamental hypermultiplets in the strong coupling limit. The moduli space for the composite solitons is found to be 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.- 11.27.+d
- 12.10.-g
- 11.30.Pb
- 11.25.-w
- gauge field theory: U(N)
- supersymmetry: fractional
- field equations: solution
- soliton: BPS
- soliton: composite
- moduli space
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