An Index Theorem for Domain Walls in Supersymmetric Gauge Theories

Details An Index Theorem for Domain Walls in Supersymmetric Gauge Theories An Index Theorem for Domain Walls in Supersymmetric Gauge Theories

2002-11-07

arxiv.org/abs/hep-th/0211058v2

Phys.Rev. D67 (2003) 045009

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, REVTeX4; v2: reference added

Scientific paper

10.1103/PhysRevD.67.045009

The supersymmetric abelian Higgs model with N scalar fields admits multiple domain wall solutions. We perform a Callias-type index calculation to determine the number of zero modes of this soliton. We confirm that the most general domain wall has 2(N-1) zero modes, which can be interpreted as the positions and phases of (N-1) constituent domain walls. This implies the existence of moduli for a D-string interpolating between N D5-branes in IIB string theory.

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