Domain walls and flow equations in supergravity

Details Domain walls and flow equations in supergravity Domain walls and flow equations in supergravity

2001-01-30

arxiv.org/abs/hep-th/0101212v3

Fortsch.Phys. 49 (2001) 327-338

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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 $N$=1 flow and finally (v) sources and exponential trapping of gravity.

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