Gravitational Duality Transformations on (A)dS4
arXiv:0704.0531 · doi:10.1088/1126-6708/2007/11/079
Abstract
We discuss the implementation of electric-magnetic duality transformations in four-dimensional gravity linearized around Minkowski or (A)dS4 backgrounds. In the presence of a cosmological constant duality generically modifies the Hamiltonian, nevertheless the bulk dynamics is unchanged. We pay particular attention to the boundary terms generated by the duality transformations and discuss their implications for holography.
14 pages, v2: minor clarifications, references added, v3: more references added
References in corpus (20)
- E_11 and M Theory
- Nonlinear higher spin theories in various dimensions
- Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence
- Quantum critical transport, duality, and M-theory
- Duality in Gravity and Higher Spin Gauge Fields
- Duality in linearized gravity
- Consistent deformations of dual formulations of linearized gravity: A no-go result
- SL(2,Z) Action on Three-Dimensional CFTs and Holography
- AdS/CFT correspondence and Geometry
- A note on spin-s duality
- SL(2,Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry
- Higher-Spin Geometry and String Theory
- Duality invariance of all free bosonic and fermionic gauge fields
- O(1/N_f) Corrections to the Thirring Model in 2<d<4
- S-Duality for Linearized Gravity
- Gravitational duality near de Sitter space
- Free Spin 2 Duality Invariance Cannot be Extended to GR
- A Note on AdS/CFT Dual of SL(2,Z) Action on 3D Conformal Field Theories with U(1) Symmetry
- Electric-magnetic Duality and Deformations of Three-Dimensional CFT's
- Four dimensional Abelian duality and SL(2,Z) action in three dimensional conformal field theory
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- Towards an exact frame formulation of conformal higher spins in three dimensions
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