Higher Spin Lifshitz Theory and Integrable Systems

Abstract

In this note we construct asymptotically Lifshitz spacetimes in the Chern-Simons formulation of three dimensional higher spin gravity and relate the resulting theories to integrable systems which are elements of the KdV hierarchy.

34 pages, no figures

References in corpus (32)

• Gravity Duals of Lifshitz-like Fixed Points
• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• An AdS_3 Dual for Minimal Model CFTs
• Nonlinear higher spin theories in various dimensions
• Minimal Model Holography
• Symmetries of Holographic Minimal Models
• Higher Spin Black Holes
• Black holes in three dimensional higher spin gravity: A review
• Higher Spin Gauge Theories in Various Dimensions
• Asymptotic W-symmetries in three-dimensional higher-spin gauge theories
• Spacetime Geometry in Higher Spin Gravity
• Wilson Lines and Entanglement Entropy in Higher Spin Gravity
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• Holography for asymptotically locally Lifshitz spacetimes
• Towards metric-like higher-spin gauge theories in three dimensions
• Elements of Vasiliev theory
• Entanglement Entropy and Higher Spin Holography in AdS${}_3$
• Higher spin gravity in 3D: black holes, global charges and thermodynamics
• Higher spin black hole entropy in three dimensions
• Towards non-AdS holography in 3-dimensional higher spin gravity
• Poisson-Lie group of pseudodifferential symbols
• W Symmetry and Integrability of Higher spin black holes
• A One-Parameter Family of Hamiltonian Structures for the KP Hierarchy and a Continuous Deformation of the Nonlinear $\W_{\rm KP}$ Algebra
• Probing higher spin black holes
• Non-AdS holography in 3-dimensional higher spin gravity - General recipe and example
• Lifshitz black holes in higher spin gravity
• Lifshitz Holography with Isotropic Scale Invariance
• Higher Spin Symmetries, Star-Product and Relativistic Equations in AdS Space
• Poisson-Lie group of pseudodifferential symbols and fractional KP-KdV hierarchies
• The Topography of $\W_\infty$-Type Algebras
• Unravelling Holographic Entanglement Entropy in Higher Spin Theories

Cited by in corpus (9)

• Revisiting the asymptotic dynamics of General Relativity on AdS${}_3$
• Higher Spin Lifshitz Theories and the KdV-Hierarchy
• Bilinear Fronsdal currents in the $Ad{S}_4$ higher-spin theory
• Connection vs metric description for non-AdS solutions in higher spin theories
• Higher Spin Gravity in $Ad{S}_3$ and Folds on Fermi Surface
• Phase space holography with no strings attached
• Higher Spin Chern-Simons Theory and the Super Boussinesq hierarchy
• Constraining all possible Korteweg-de Vries type hierarchies
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity