paper

Domain walls and flow equations in supergravity

arXiv:hep-th/0101212 · doi:10.1002/1521-3978(200105)49:4/6<327::AID-PROP327>3.0.CO;2-M

Abstract

Domain wall solutions have attracted much attention due to their relevance for brane world scenarios and the holographic RG flow. In this talk I discuss the following aspects for these applications: (i) derivation of the first order flow equations as Bogomol'nyi bound; (ii) different types of critical points of the superpotential; (iii) the superpotential needed to localize gravity; (iv) the constraints imposed by supersymmetry including an example for an =1 flow and finally (v) sources and exponential trapping of gravity.

20 pages, 4 figures, Latex, corrected typos and removed misleading example

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