Thick domain walls and singular spaces

Details Thick domain walls and singular spaces Thick domain walls and singular spaces

2000-02-05

arxiv.org/abs/hep-th/0002040v3

Phys.Rev.D62:044017,2000

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, v2: references corrected, v3: minor corrections in sect. 3

Scientific paper

10.1103/PhysRevD.62.044017

We discuss thick domain walls interpolating between spaces with naked singularities and give arguments based on the $AdS$/CFT correspondence why such singularities may be physically meaningful. Our examples include thick domain walls with Minkowski, de Sitter, and anti-de Sitter geometries on the four-dimensional slice. For flat domain walls we can solve the equivalent quantum mechanics problem exactly, which provides the spectrum of graviton states. In one of the examples we discuss, the continuum states have a mass gap. We compare the graviton spectra with expectations from the $AdS$/CFT correspondence and find qualitative agreement. We also discuss unitary boundary conditions and show that they project out all continuum states.

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