Year: 2005
Type: article
Abstract: Domain wall solutions of d -dimensional gravity coupled to a dilaton field σ with an exponential potential Λ e −λσ are shown to be governed by an autonomous dynamical system, with a transcritical bifurcation as a function of the parameter λ when Λ < 0. All phase-plane trajectories are found exactly for λ = 0, including separatrices corresponding to walls that interpolate between AdS d and , and the exact solution is found for d = 3. Janus-type solutions are interpreted as marginal bound states of these ‘separatrix walls’. All flat domain wall solutions, which are given exactly for any λ, are shown to be supersymmetric for some superpotential W , determined by the solution.
Source: Classical and Quantum Gravity
Authors: Julian Sonner, Paul K Townsend
Institution: University of Cambridge
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2004729146