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The Moduli Space of BPS Domain Walls

David Tong
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Abstract

N=2 SQED with several flavors admits multiple, static BPS domain wall solutions. We determine the explicit two-kink metric and examine the dynamics of colliding domain walls. The multi-kink metric has a toric Kahler structure and we reduce the Kahler potential to quadrature. In the second part of this paper, we consider semi-local vortices compactified on circle. We argue that, in the presence of a suitable Wilson line, the vortices separate into domain wall constituents. These play the role of fractional instantons in two-dimensional gauge theories and sigma-models.

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David Tong. 2002-04-25. The Moduli Space of BPS Domain Walls. https://doi.org/10.1103/physrevd.66.025013

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