Supergravity Walls as Windows into New Types of Vacua

TL;DR

This paper explores new supergravity domain wall solutions with varying dilaton couplings, revealing their structure and relation to black holes, and introduces a classification based on the coupling parameter.

Contribution

It presents a comprehensive analysis of extreme dilatonic domain walls in 4d N=1 supergravity with a general coupling, linking their properties to black hole solutions and classifying them by the coupling parameter.

Findings

Identifies different types of domain walls based on the dilaton coupling parameter.

Shows similarities between domain wall structures and extreme charged black holes.

Classifies walls into categories with or without naked singularities.

Abstract

Within four dimensional (4d) N=1 supergravity theories we present extreme dilatonic domain wall solutions with a general overall coupling $\alpha$ in the dilaton K\" ahler potential. We concentrate on extreme Type I walls, which are static, planar configurations, interpolating between Minkowski space-time and a new type of space-time with a varying dilaton field. $\alpha=0$ case yields extreme ``ordinary'' supergravity walls between Minkowski and anti-de Sitter space-times. For $\alpha=1$ the walls are extreme ``stringy dilatonic'' walls of the three level superstring vacua interpolating between the constant and linear dilaton vacuum. Extreme stringy dilatonic walls ($\alpha =1$) serve as a dividing line between the walls ($0<\alpha<1$) with the (planar) singularity covered by the horizon and those ($\alpha>1$) with the naked singularity. Striking similarities between the global space-time structure of such domain walls and and the one of the corresponding extreme charged black holes with a general dilaton coupling are pointed out.