Axion-Dilaton Domain Walls and Fake Supergravity

Abstract

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.

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

References in corpus (5)

• Hidden supersymmetry of domain walls and cosmologies
• Hamilton-Jacobi method for Domain Walls and Cosmologies
• Cosmology as Geodesic Motion
• Recurrent Acceleration in Dilaton-Axion Cosmology
• Scaling Cosmologies of N=8 Gauged Supergravity

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• Universal accelerating cosmologies from 10d supergravity
• Brane Inflation is Attractive
• Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry
• Chern-Simons vortices and holography
• From Wave Geometry to Fake Supergravity
• Black holes, first-order flow equations and geodesics on symmetric spaces
• Scaling Cosmologies from Duality Twisted Compactifications