Symmetries within domain walls

Abstract

The comparison of symmetries in the interior and the exterior of a domain wall is relevant when discussing the correspondence between domain walls and branes, and also when studying the interaction of walls and magnetic monopoles. I discuss the symmetries in the context of an SU(N) times Z_2 model (for odd N) with a single adjoint scalar field. Situations in which the wall interior has less symmetry than the vacuum are easy to construct while the reverse situation requires significant engineering of the scalar potential.

arXiv comment5 pages. Added references

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Cited by in corpus (9)

• On formation of domain wall lattices
• O(10) kinks: clash of symmetries on the brane and the gauge hierarchy problem
• Kink-induced symmetry breaking patterns in brane-world SU(3)^3 trinification models
• Spontaneous formation of domain wall lattices in two spatial dimensions
• Magnetic monopole - domain wall collisions
• Domain walls and fermion scattering in Grand Unified models
• Gravitational localization of scalar zero modes in SU(5) X Z2 branes
• $SO(10)$ thick branes and perturbative stability
• Selfgravitating $SU(5)$ Higgs domain walls as a braneworlds