All exact solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield equation
By Y. Isozumi, Muneto Nitta, K. Ohashi, N. Sakai. 2004
172 citations recorded by the source corpus.
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{sub C}) gauge theories with eight supercharges with N{sub F} 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{sub C}xN{sub F} matrix divided by the space of the holomorphic maps to GL(N{sub C},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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/67ef2d75690e7a04d433fc39f1868b13e03c8fc1
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Citations in the corpus
- TOPICAL REVIEW: Solitons in the Higgs phase: the moduli matrix approach (2006, methodology): “Similarly to the webs of walls dealt with in the previous subsection, the moduli matrix is also a powerful tool to clarify properties of this 1/4 BPS system [11].”