1/c deformations of AdS${}_3$ boundary conditions and the Dym hierarchy

Abstract

This work introduces a novel family of boundary conditions for AdS${}_3$ General Relativity, constructed through a polynomial expansion in negative integer powers of the Brown-Henneaux central charge. The associated dynamics is governed by the Dym hierarchy of integrable equations. It is shown that the infinite set of Dym conserved charges generates an abelian asymptotic symmetry group. Additionally, these boundary conditions encompass black hole solutions, whose thermodynamic properties are examined.

arXiv comment41 pages, 1 figure, matches published version

References in corpus (84)

• Gauge Theory Correlators from Non-Critical String Theory
• The World as a Hologram
• The Kerr/CFT Correspondence
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Soft Hair on Black Holes
• Aspects of the BMS/CFT correspondence
• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• BMS charge algebra
• Asymptotic symmetries and subleading soft graviton theorem
• Superrotation Charge and Supertranslation Hair on Black Holes
• Conformal Carroll groups and BMS symmetry
• Supertranslations and Superrotations at the Black Hole Horizon
• Holography of 3d Flat Cosmological Horizons
• The flat limit of three dimensional asymptotically anti-de Sitter spacetimes
• Three-dimensional quantum geometry and black holes
• Emergent Spacetime and Holographic CFTs
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Black holes and asymptotics of 2+1 gravity coupled to a scalar field
• Lifshitz holography
• New Boundary Conditions for AdS3
• Extended Symmetries at the Black Hole Horizon
• Notes on the BMS group in three dimensions: I. Induced representations
• Lifshitz Space-Times for Schroedinger Holography
• The $\Lambda$-BMS${}_4$ Charge Algebra
• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• Semiclassical 3D gravity as an average of large-c CFTs
• Generalized Black Holes in Three-dimensional Spacetime
• Most general AdS_3 boundary conditions
• Generalized BMS charge algebra
• Enhanced asymptotic symmetry algebra of AdS3
• Most general flat space boundary conditions in three-dimensional Einstein gravity
• Time evolution of entanglement entropy from a pulse
• BMS Group at Spatial Infinity: the Hamiltonian (ADM) approach
• Notes on the BMS group in three dimensions: II. Coadjoint representation
• Boundary conditions for General Relativity on AdS${}_3$ and the KdV hierarchy
• Consistent Boundary Conditions for New Massive Gravity in $Ad{S}_3$
• Einstein-Yang-Mills theory : I. Asymptotic symmetries
• The BMS4 algebra at spatial infinity
• Near-Horizon Geometry and Warped Conformal Symmetry
• Field theories with anisotropic scaling in 2D, solitons and the microscopic entropy of asymptotically Lifshitz black holes
• A short review on Noether's theorems, gauge symmetries and boundary terms
• An sl(2, R) current algebra from AdS_3 gravity
• Relaxing the Parity Conditions of Asymptotically Flat Gravity
• BMS invariance and the membrane paradigm
• BMS in Cosmology
• Centrally extended BMS4 Lie algebroid
• Entanglement negativity at large central charge
• Weyl Charges in Asymptotically Locally AdS${}_3$ Spacetimes
• Logarithmic supertranslations and supertranslation-invariant Lorentz charges
• Asymptotically flat structure of hypergravity in three spacetime dimensions
• Asymptotically warped anti-de Sitter spacetimes in topologically massive gravity
• BMS-like symmetries in cosmology
• Massless Scalars and Higher-Spin BMS in Any Dimension
• Three-dimensional asymptotically flat Einstein-Maxwell theory
• Geometric action for extended Bondi-Metzner-Sachs group in four dimensions
• Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies
• Semi-classical BMS${}_3$ blocks and flat holography
• Excitation Entanglement Entropy in 2d Conformal Field Theories
• Integrable systems with BMS${}_3$ Poisson structure and the dynamics of locally flat spacetimes
• Asymptotic dynamics of AdS${}_3$ gravity with two asymptotic regions
• Exact generalized partition function of 2D CFTs at large central charge
• More on Asymptotically Anti-de Sitter Spaces in Topologically Massive Gravity
• The (super)conformal BMS${}_3$ algebra
• Canonical Realization of (2+1)-dimensional Bondi-Metzner-Sachs symmetry
• Revisiting the asymptotic dynamics of General Relativity on AdS${}_3$
• Resurgence, Conformal Blocks, and the Sum over Geometries in Quantum Gravity
• Lifshitz symmetry: Lie algebras, spacetimes and particles
• KdV-charged black holes
• Integrable Systems and Spacetime Dynamics
• New boundary conditions for (extended) ${\mathrm{AdS}}_3$ supergravity
• Lifshitz Scaling, Microstate Counting from Number Theory and Black Hole Entropy
• On KdV characters in large c CFTs
• Asymptotic structure of the Rarita-Schwinger theory in four spacetime dimensions at spatial infinity
• Canonical Realization of BMS Symmetry. Quadratic Casimir
• Asymptotic symmetries in spatially flat FRW
• Integrable systems and the boundary dynamics of higher spin gravity on AdS${}_3$
• Exploring new Boundary Conditions for $\mathcal{N}=(1,1)$ Extended Higher Spin $Ad{S}_3$ Supergravity
• $\mathcal{N}=(2,2)$ extended $\mathfrak{sl}(3|2)$ Chern-Simons $Ad{S}_3$ supergravity with new boundaries
• BTZ black hole with KdV-type boundary conditions: Thermodynamics revisited
• Holography and black holes in asymptotically flat FLRW
• Banados and SUSY: On Supersymmetry and Minimal Surfaces of Locally AdS3 Geometries
• The anisotropic chiral boson
• Probing the near-horizon geometry of black rings
• DC conductance and memory in 3D gravity

Cited by in corpus (1)

• AdS${}_3$ Carroll gravity: asymptotic symmetries and C-thermal configurations