Axion-Dilaton Domain Walls and Fake Supergravity

Details Axion-Dilaton Domain Walls and Fake Supergravity Axion-Dilaton Domain Walls and Fake Supergravity

2007-03-29

arxiv.org/abs/hep-th/0703276v2

Class.Quant.Grav.24:3479-3514,2007

Physics

High Energy Physics

High Energy Physics - Theory

43pp, 19 figures; minor corrections and extensions; one additional figure

Scientific paper

10.1088/0264-9381/24/13/021

Dynamical systems methods are used to investigate domain-wall solutions of a two-parameter family of models in which gravity is coupled to an axion, and to a dilaton with an exponential potential of either sign. A complete global analysis is presented for (i) constant axion and (ii) flat walls, including a study of bifurcations and a new exact domain-wall solution with non-constant axion. We reconsider `fake supergravity' issues in light of these results. We show, by example, how domain walls determine multi-valued superpotentials that branch at stationary points that are not stationary points of the potential, and we apply this result to potentials with anti-de Sitter vacua. We also show by example that `adapted' truncation to a single-scalar model is sometimes inconsistent, and we propose a `generalized' fake supergravity formalism that applies in some such cases.

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