Domain-wall branes in Lifshitz theories

Details Domain-wall branes in Lifshitz theories Domain-wall branes in Lifshitz theories

2010-08-12

arxiv.org/abs/1008.2054v2

Phys.Rev.D82:116007,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1103/PhysRevD.82.116007

We analyze whether or not Lifshitz field theories in 4 + 1 dimensions may provide ultraviolet-complete domain-wall brane models. We first show that Lifshitz scalar field theory can admit topologically stable domain wall solutions. A Lifshitz fermion field is then added to the toy model, and we demonstrate that 3+1- dimensional Kaluza-Klein zero mode solutions do not exist when the four spatial dimensions are treated isotropically. To recover 3 + 1-dimensional chiral fermions dynamically localized to the domain wall, we must postulate the breaking of full 4-dimensional rotational symmetry down to the subgroup of rotations which mix the usual 3-dimensional spatial directions and fix the extra-dimensional axis in addition to the anisotropy between space and time.

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