The Moduli Space of BPS Domain Walls
High Energy Physics - Theory
2009-11-07 v4 High Energy Physics - Phenomenology
Pattern Formation and Solitons
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.
Cite
@article{arxiv.hep-th/0202012,
title = {The Moduli Space of BPS Domain Walls},
author = {David Tong},
journal= {arXiv preprint arXiv:hep-th/0202012},
year = {2009}
}
Comments
16 pages, LaTex, 2 figures; factors of zeta corrected, meaning of cross-terms elucidated, further clarifying comments; (more) references added