Love symmetry
arXiv:2209.02091 · doi:10.1007/JHEP10(2022)175
Abstract
Perturbations of massless fields in the Kerr-Newman black hole background enjoy a (``Love'') SL symmetry in the suitably defined near zone approximation. We present a detailed study of this symmetry and show how the intricate behavior of black hole responses in four and higher dimensions can be understood from the SL representation theory. In particular, static perturbations of four-dimensional black holes belong to highest weight SL representations. It is this highest weight property that forces the static Love numbers to vanish. We find that the Love symmetry is tightly connected to the enhanced isometries of extremal black holes. This relation is simplest for extremal charged spherically symmetric (Reissner-Nordström) solutions, where the Love symmetry exactly reduces to the isometry of the near horizon AdS throat. For rotating (Kerr-Newman) black holes one is lead to consider an infinite-dimensional SL extension of the Love symmetry. It contains three physically distinct subalgebras: the Love algebra, the Starobinsky near zone algebra, and the near horizon algebra that becomes the Bardeen-Horowitz isometry in the extremal limit. We also discuss other aspects of the Love symmetry, such as the geometric meaning of its generators for spin weighted fields, connection to the no-hair theorems, non-renormalization of Love numbers, its relation to (non-extremal) Kerr/CFT correspondence and prospects of its existence in modified theories of gravity.
arXiv comment67+26 pages, 4 figures
References in corpus (64)
- The Large N Limit of Superconformal Field Theories and Supergravity
- Large N Field Theories, String Theory and Gravity
- Quasinormal modes of black holes and black branes
- Constraining neutron star tidal Love numbers with gravitational wave detectors
- The Kerr/CFT Correspondence
- Relativistic theory of tidal Love numbers
- An Effective Field Theory of Gravity for Extended Objects
- I-Love-Q
- The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
- The Effective Field Theorist's Approach to Gravitational Dynamics
- Post-Newtonian corrections to the motion of spinning bodies in NRGR
- Hidden Conformal Symmetry of the Kerr Black Hole
- String Theory and Classical Absorption by Threebranes
- Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
- Neutron star tidal deformability and equation of state constraints
- Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
- World Volume Approach to Absorption by Non-dilatonic Branes
- Testing the black hole "no-hair" hypothesis
- Universal Low-Energy Dynamics for Rotating Black Holes
- Black and super p-branes in diverse dimensions
- Black hole stereotyping: Induced gravito-static polarization
- Dissipative Effects in the Worldline Approach to Black Hole Dynamics
- Spinning gravitating objects in the effective field theory in the post-Newtonian scheme
- Black holes in an Effective Field Theory extension of GR
- Tidal Deformation and Dissipation of Rotating Black Holes
- Spinning Black Holes Fall in Love
- Exact solution of Kerr black hole perturbations via CFT and instanton counting. Greybody factor, Quasinormal modes and Love numbers
- Tidal Love Numbers of Kerr Black Holes
- Quasinormal modes of Kerr-Newman black holes: coupling of electromagnetic and gravitational perturbations
- On the Vanishing of Love Numbers for Kerr Black Holes
- The Tune of Love and the Nature(ness) of Spacetime
- Static response and Love numbers of Schwarzschild black holes
- Analytic Solutions of the Regge-Wheeler Equation and the Post-Minkowskian Expansion
- Absorption Effects due to Spin in the Worldline Approach to Black Hole Dynamics
- Tidal Effects in the Post-Minkowskian Expansion
- Analytic Solutions of the Teukolsky Equation and their Properties
- Leading Nonlinear Tidal Effects and Scattering Amplitudes
- Highly damped quasinormal modes of Kerr black holes
- Quasi normal modes: A simple derivation of the level spacing of the frequencies
- Hidden Symmetry of Vanishing Love
- Tidal coupling of a Schwarzschild black hole and circularly orbiting moon
- Highly Damped Quasinormal Modes of Kerr Black Holes: A Complete Numerical Investigation
- Ladder Symmetries of Black Holes: Implications for Love Numbers and No-Hair Theorems
- Non-conservative effects on Spinning Black Holes from World-Line Effective Field Theory
- Conformal Symmetry for Black Holes in Four Dimensions
- Near-Zone Symmetries of Kerr Black Holes
- Conformal Symmetry for General Black Holes
- Black hole uniqueness theorems in higher dimensional spacetimes
- Conformal structure of the Schwarzschild black hole
- Uniqueness of Extremal Kerr and Kerr-Newman Black Holes
- Tidal response from scattering and the role of analytic continuation
- Kerr black hole quasinormal frequencies
- Horizon radiation reaction forces
- Gravitomagnetic Love tensor of a slowly rotating body: post-Newtonian theory
- Bumpy black holes from spontaneous Lorentz violation
- Mass Ladder Operators from Spacetime Conformal Symmetry
- An Effective Field Theory of Quantum Mechanical Black Hole Horizons
- Generalized hidden Kerr/CFT
- Purely imaginary quasinormal modes of the Kerr geometry
- Modes of the Kerr geometry with purely imaginary frequencies
- Quasinormal modes and hidden conformal symmetry in the Reissner-Nordstrom black hole
- (Conformal) Killing vectors in the Newman-Penrose formalism
- g-function in perturbation theory
- Hidden Conformal Symmetry for Vector Field on Various Black Hole Backgrounds
Cited by in corpus (32)
- Vanishing of black hole tidal Love numbers from scattering amplitudes
- Non-linearities in the tidal Love numbers of black holes
- Black hole perturbation theory and multiple polylogarithms
- Implications of the Weak Gravity Conjecture for Tidal Love Numbers of Black Holes
- Scalar Love numbers and Love symmetries of 5-dimensional Myers-Perry black holes
- Vanishing Love of Black Holes in General Relativity: From Spacetime Conformal Symmetry of a Two-dimensional Reduced Geometry
- Completing the Fifth PN Precision Frontier via the EFT of Spinning Gravitating Objects
- Love Numbers for Rotating Black Holes in Higher Dimensions
- Ladder Symmetries and Love Numbers of Reissner--Nordström Black Holes
- Sudden breakdown of effective field theory near cool Kerr-Newman black holes
- Tidal Love Numbers from EFT of Black Hole Perturbations with Timelike Scalar Profile
- Vanishing of Quadratic Love Numbers of Schwarzschild Black Holes
- Perturbations of the Vaidya metric in the frequency domain: Quasi-normal modes and tidal response
- Tidal Love numbers and approximate universal relations for fermion soliton stars
- Running Love Numbers and the Effective Field Theory of Gravity
- Quasinormal Modes and Love Numbers of Kerr Black Holes from AdS Black Holes
- Dark Stars and Gravitational Waves: Topical Review
- Scalar tidal response of a rotating BTZ black hole
- Love symmetry in higher-dimensional rotating black hole spacetimes
- Systematic biases from ignoring environmental tidal effects in gravitational wave observations
- Off-shell duality invariance of Schwarzschild perturbation theory
- Parametrized Tidal Dissipation Numbers of Non-rotating Black Holes
- Fermionic Love of Black Holes in General Relativity
- Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT
- Hidden conformal symmetries for black holes in modified gravity
- Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
- Love beyond Einstein: Metric reconstruction and Love number in quadratic gravity using WEFT
- Highest-weight truncation, graded EFT structure, and renormalization of black hole Love numbers
- Graviton Photoproduction by a Kerr-Newman Black Hole with Worldline EFT
- Extremal Love: tidal/electromagnetic deformability, logarithmic running and the weak gravity conjecture
- On the logarithmic Love number of black holes beyond general relativity
- Worldline EFT treatment of quadratic and cubic gravity theories