Flat space (higher spin) gravity with chemical potentials

Abstract

We introduce flat space spin-3 gravity in the presence of chemical potentials and discuss some applications to flat space cosmology solutions, their entropy, free energy and flat space orbifold singularity resolution. Our results include flat space Einstein gravity with chemical potentials as special case. We discover novel types of phase transitions between flat space cosmologies with spin-3 hair and show that the branch that continuously connects to spin-2 gravity becomes thermodynamically unstable for sufficiently large temperature or spin-3 chemical potential.

42 pages, v2: added references and comparison with AdS results by David, Ferlaino and Kumar

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Cited by in corpus (37)

• Flat Holography: Aspects of the dual field theory
• Entanglement entropy in Galilean conformal field theories and flat holography
• Soft Heisenberg hair on black holes in three dimensions
• Spacetime structure near generic horizons and soft hair
• Most general flat space boundary conditions in three-dimensional Einstein gravity
• Soft hairy horizons in three spacetime dimensions
• Near-Horizon Geometry and Warped Conformal Symmetry
• Stress tensor correlators in three-dimensional gravity
• Higher Spin Black Holes with Soft Hair
• Super-BMS${}_3$ algebras from $\mathcal{N}=2$ flat supergravities
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• Asymptotic structure of $\mathcal{N}=2$ supergravity in 3D: extended super-BMS${}_3$ and nonlinear energy bounds
• Geometric actions and flat space holography
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Three-dimensional Spin-3 Theories Based on General Kinematical Algebras
• Higher-Spin Flat Space Cosmologies with Soft Hair
• Extension of the Poincaré group with half-integer spin generators: hypergravity and beyond
• Asymptotically flat structure of hypergravity in three spacetime dimensions
• Integrable systems with BMS${}_3$ Poisson structure and the dynamics of locally flat spacetimes
• Spectral Flow in 3D Flat Spacetimes
• Interpolating Between Asymptotic and Near Horizon Symmetries
• The (super)conformal BMS${}_3$ algebra
• Maximally $\mathcal{N}$-extended super-BMS${}_3$ algebras and Generalized 3D Gravity Solutions
• Zooming in on AdS${}_3$/CFT${}_2$ near a BPS Bound
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity
• Integrable systems and the boundary dynamics of higher spin gravity on AdS${}_3$
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• Electrically charged black hole on AdS${}_3$: scale invariance and the Smarr formula
• BTZ black hole with KdV-type boundary conditions: Thermodynamics revisited
• Hypergravity in five dimensions
• AdS${}_3$ Carroll gravity: asymptotic symmetries and C-thermal configurations
• Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
• Enhanced Conformal $BM{S}_3$ Symmetries
• Supersymmetric Localization on dS: Sum over topologies
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity
• Contractions from Grading