New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity
arXiv:1610.03449 · doi:10.1007/JHEP01(2017)043
Abstract
We present new infinite-dimensional spaces of bi-axially symmetric asymptotically anti-de Sitter solutions to four-dimensional Vasiliev higher spin gravity, obtained by modifications of the Ansatz used in arXiv:1107.1217, which gave rise to a Type-D solution space. The current Ansatz is based on internal semigroup algebras (without identity) generated by exponentials formed out of the bi-axial symmetry generators. After having switched on the vacuum gauge function, the resulting generalized Weyl tensor is given by a sum of generalized Petrov type-D tensors that are Kerr-like or 2-brane-like in the asymptotic AdS4 region, and the twistor space connection is smooth in twistor space over finite regions of spacetime. We provide evidence for that the linearized twistor space connection can be brought to Vasiliev gauge.
arXiv commentv3: 48 pages; minor modifications; published on JHEP with additional typesetting
References in corpus (29)
- Gauge Theory Correlators from Non-Critical String Theory
- AdS Dual of the Critical O(N) Vector Model
- Massless Higher Spins and Holography
- Higher Spin Gauge Theory and Holography: The Three-Point Functions
- The Hagedorn Transition, Deconfinement and N=4 SYM Theory
- Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time
- How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
- Tensor gauge fields in arbitrary representations of GL(D,R) : duality & Poincare lemma
- Higher Spins in AdS and Twistorial Holography
- Holography of the N=1 Higher-Spin Theory on AdS4
- Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
- Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory
- Static BPS black hole in 4d higher-spin gauge theory
- Higher-spin Interactions from CFT: The Complete Cubic Couplings
- Tensor fields of mixed Young symmetry type and N-complexes
- Analysis of Higher Spin Field Equations in Four Dimensions
- An Exact Solution of 4D Higher-Spin Gauge Theory
- Families of exact solutions to Vasiliev's 4D equations with spherical, cylindrical and biaxial symmetry
- A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field Equations
- Brane Partons and Singleton Strings
- Geometry and Observables in Vasiliev's Higher Spin Gravity
- Loops in exceptional field theory
- Unfolded Description of Kerr Black Hole
- Twistor space observables and quasi-amplitudes in 4D higher spin gravity
- Bulk quartic vertices from boundary four-point correlators
- Pseudo-local Theories: A Functional Class Proposal
- Three-dimensional fractional-spin gravity
- Scalar Field Corrections to AdS_4 Gravity from Higher Spin Gauge Theory
- Symmetries and Invariants in Higher-Spin Theory
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- Formal Higher-Spin Theories and Kontsevich-Shoikhet-Tsygan Formality
- 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
- Fronsdal fields from gauge functions in Vasiliev's higher-spin gravity
- Planar solutions of higher-spin theory. Nonlinear corrections
- Planar solutions of higher-spin theory I: free field level
- Metaplectic representation and ordering (in)dependence in Vasiliev's higher spin gravity
- Higher spin fluctuations on spinless 4D BTZ black hole
- Higher-spin charges in Hamiltonian form. II. Fermi fields
- Higher-spin initial data in twistor space with complex stargenvalues