Excision of Singularities by Stringy Domain Walls

Abstract

We study supersymmetric domain walls on S_1/Z_2 orbifolds. The supergravity solutions in the bulk are given by the attractor equation associated with Calabi-Yau spaces and have a naked space-time singularity at some |y_s|. We are looking for possibilities to cut off this singularity with the second wall by a stringy mechanism. We use the collapse of the CY cycle at |y_c| which happens before and at a finite distance from the space-time singularity. In our example with three Kahler moduli the second wall is at the end of the moduli space at |y_c| where also the enhancement of SU(2) gauge symmetry takes place so that |y_e|=|y_c|< |y_s|. The physics of the excision of a naked singularity via the enhancon in the context of domain wall has an interpretation on the heterotic side related to R -> 1/R duality. The position of the enhancon is given by the equation R(|y_e|)=1.

13 pages, 3 figures

References in corpus (4)

• A Small Cosmological Constant from a Large Extra Dimension
• Self-tuning flat domain walls in 5d gravity and string theory
• Gauge Theory and the Excision of Repulson Singularities
• Domain Walls and Superpotentials from M Theory on Calabi-Yau Three-Folds

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• Effective Actions near Singularities
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• Topological Transitions and Enhancon-like Geometries in Calabi-Yau Compactifications of M-Theory
• Nernst branes from special geometry
• The Heterotic Enhancon
• Non-extremal and non-BPS extremal five-dimensional black strings from generalized special real geometry
• Space-Time Singularities and the Kahler Cone
• Supergravity on R4 x S1/Z2 and singular Calabi-Yaus