Domain Walls, Triples and Acceleration

Abstract

We present a construction of domain walls in string theory. The domain walls can bridge both Minkowski and AdS string vacua. A key ingredient in the construction are novel classical Yang-Mills configurations, including instantons, which interpolate between toroidal Yang-Mills vacua. Our construction provides a concrete framework for the study of inflating metrics in string theory. In some cases, the accelerating space-time comes with a holographic description. The general form of the holographic dual is a field theory with parameters that vary over space-time.

63 pages, 1 figure; LaTeX

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• On New Vacua of non-Supersymmetric Strings
• Holography and Irrelevant Operators
• On Codimension-one Vacua and String Theory
• On Heterotic Vacua with Fermionic Expectation Values
• Order ${\alpha }^{\prime }$ heterotic domain walls with warped nearly Kähler geometry
• Spatially periodic instantons: Nahm transform and moduli
• Supersymmetry breaking, brane dynamics and Swampland conjectures
• The quaternionic Heisenberg group and Heterotic String Solutions with non-constant dilaton in dimensions 7 and 5