2011/05/31 by Wissam Chemissany, Jelle Hartong · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Compactification (mathematics) #Cosmology and Gravitation Theories #Dimensional reduction #Geometry #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #String theory #Supergravity #Superposition principle #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1088/0264-9381/28/19/195011
published as Class.Quant.Grav.28:195011,2011 · version 3: version published in Classical and Quantum Gravity
openalex publication_date 2011/09/12 · arxiv created 2012/08/21 · arxiv updated 2012/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a simple embedding of a z=2 Lifshitz space-time into type IIB supergravity. This is obtained by considering a stack of D3-branes in type IIB supergravity and deforming the world-volume by a plane wave. The plane wave is sourced by the type IIB axion. The superposition of the plane wave and the D3-branes is 1/4 BPS. The near horizon geometry of this configuration is a 5-dimensional z=0 Schroedinger space-time times a 5-sphere. This geometry is also 1/4 BPS. Upon compactification along the direction in which the wave is traveling the 5-dimensional z=0 Schroedinger space-time reduces to a 4-dimensional z=2 Lifshitz space-time. The compactification is such that the circle is small for weakly coupled type IIB string theory. This reduction breaks the supersymmetries. Further, we propose a general method to construct analytic z=2 Lifshitz black brane solutions. The method is based on deforming 5-dimensional AdS black strings by an axion wave and reducing to 4-dimensions. We illustrate this method with an example.