Gravitational duality transformations on (A)dS4

2007/04/30 by Robert G. Leigh, Anastasios C. Petkou · 3 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Duality (order theory) #Geophysics and Gravity Measurements #Gravitation #Hamiltonian (control theory) #Mathematical physics #Mathematics #Minkowski space #Physics #Pure mathematics #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/11/079

published as JHEP0711:079,2007 · 14 pages, v2: minor clarifications, references added, v3: more references added

arxiv created 2007/08/14 · openalex publication_date 2007/11/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence
• Consistent deformations of dual formulations of linearized gravity: A no-go result
• Duality in gravity and higher spin gauge fields
• Generalized gauge fields
• Nonlinear higher spin theories in various dimensions
• S-duality for linearized gravity
• AdS/CFT correspondence and Geometry
• SL(2,Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry

Cited by

• Torsional degrees of freedom in AdS4/CFT3
• Partially massless monopoles and charges
• Prepotentials for linearized supergravity
• Holographic fluids with vorticity and analogue gravity