Solutions for Intersecting Domain Walls with Internal Structure in Six Dimensions from a Z_2 x Z_2-invariant Action
Abstract
We present a generic Z_2 x Z_2-invariant scalar field theory with four real scalar fields in six-dimensional Minkowskian spacetime which yields solutions consisting of two intersecting domain-wall kinks which are each paired by fields with lump-like profiles. For a special parameter choice, analytic solutions can be obtained. We show that the Z_2 x Z_2 symmetry can be maintained while coupling fermions by introducing scalar Yukawa couplings to one kink-lump pair and six-dimensional pseudoscalar Yukawa couplings to the other, and we show that there exists a zero mode localized to the domain-wall junction in this case. We also show that scalar fields can be localized.
Keywords
Cite
@article{arxiv.1211.5349,
title = {Solutions for Intersecting Domain Walls with Internal Structure in Six Dimensions from a Z_2 x Z_2-invariant Action},
author = {Benjamin D. Callen and Raymond R. Volkas},
journal= {arXiv preprint arXiv:1211.5349},
year = {2013}
}
Comments
13 pages, 9 figures, some corrections made. This paper has been published in Physical Review D