Stringy Schroedinger truncations

Abstract

Motivated by the desire to better understand finite-temperature holography for three-dimensional Schroedinger spacetimes, we: i) construct a four-parameter family of warped black string solutions of type IIB supergravity and ii) find the first consistent truncations of type IIB string theory to three dimensions that admit both supersymmetric Schroedinger solutions and warped generalizations of the BTZ black hole. Our analysis reveals a number of interesting features. One is that the thermodynamic properties of all the warped black strings, as well as the asymptotic symmetry group data, are identical to those of BTZ, in an appropriate parametrization. A more striking feature is that the spectrum of linearized perturbations around the various supersymmetric Schroedinger vacua oftentimes contains modes that carry energy flux through the spacetime boundary, which are usually believed to be unstable. A preliminary analysis indicates that, at least in the case of most interest, these modes do not lead to an instability.

36+20 pages, 5 figures

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Cited by in corpus (37)

• Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
• Strings on warped AdS${}_3$ via $T\bar{J}$ deformations
• Modifications to Holographic Entanglement Entropy in Warped CFT
• 3D supergravity from wrapped M5-branes
• Swing surfaces and holographic entanglement beyond AdS/CFT
• 3D Supergravity from wrapped D3-branes
• Correlation Functions of Warped CFT
• A deformation of quantum affine algebra in squashed WZNW models
• Integrability in dipole-deformed N=4 super Yang-Mills
• Two Virasoro symmetries in stringy warped AdS${}_3$
• Complexity and action for warped AdS black holes
• Generalized Gravitational Entropy for Warped Anti-de Sitter Space
• Bootstrapping holographic warped CFTs or: how I learned to stop worrying and tolerate negative norms
• Warped Symmetries of the Kerr Black Hole
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• Entanglement and chaos in warped conformal field theories
• Phase Transitions in Warped AdS${}_3$ Gravity
• Volume and complexity for warped AdS black holes
• Heating up holography for single-trace $J\bar{T}$ deformations
• Supersymmetric Warped AdS in Extended Topologically Massive Supergravity
• Calibrated Entanglement Entropy
• Logarithmic corrections to black hole entropy from Kerr/CFT
• Warped Black Holes in Lower-Spin Gravity
• SUSY properties of warped AdS${}_3$
• Structure Constants from Modularity in Warped CFT
• From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions
• Particle Number and 3D Schroedinger Holography
• Black Probes of Schrödinger Spacetimes
• Decrypting the warped black strings
• Gravitational anomalies on the Newton-Cartan background
• Near-Extremal Limits of Warped Black Holes
• Warped AdS${}_3$, dS${}_3$ and flows from $\mathcal{N}=(0,2)$ SCFTs
• Banados and SUSY: On Supersymmetry and Minimal Surfaces of Locally AdS3 Geometries
• Asymptotic Symmetries of Three-Dimensional Black Strings
• Hydrodynamics in 1+1 dimensions from Maxwell-Chern-Simons theory in AdS_3
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$
• Developments in non-relativistic field theory and complexity