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- W2004398823 abstract "Existence and uniqueness of the solution are proved for the `master equation' derived from the BPS equation for the vector multiplet scalar in the U(1) gauge theory with Nf charged matter hypermultiplets with eight supercharges. This proof finally establishes the fact that the moduli space of the BPS domain wall solution is CP^(N_f-1) for the gauge theory at finite gauge couplings. Therefore the moduli space at finite gauge couplings is topologically the same manifold as that at infinite gauge coupling, where the gauged linear sigma model reduces to a nonlinear sigma model. The proof is extended to the U(Nc) gauge theory with Nf hypermultiplets in the fundamental representation, provided the moduli matrix of the domain wall solution is U(1)-factorizable. Thus the dimension of the moduli space of U(Nc) gauge theory is bounded from below by the dimension of the U(1)-factorizable part of the moduli space. We also obtain sharp estimates of the asymptotic exponential decay which depend on both the gauge coupling and the hypermultiplet mass differences." @default.
- W2004398823 created "2016-06-24" @default.
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- W2004398823 date "2006-08-17" @default.
- W2004398823 modified "2023-09-23" @default.
- W2004398823 title "Moduli Space of BPS Walls in Supersymmetric Gauge Theories" @default.
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- W2004398823 doi "https://doi.org/10.1007/s00220-006-0083-4" @default.
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