Free Spin 2 Duality Invariance Cannot be Extended to GR

Abstract

We show by explicit computation that the recently discovered duality invariance of D=4 linearized gravity fails, already at first self-interacting, cubic, approximation of GR. In contrast, the cubic Yang-Mills correction to Maxwell does admit a simple deformed duality.

11 Pages

References in corpus (2)

• Duality in linearized gravity
• Duality invariance of all free bosonic and fermionic gauge fields

Cited by in corpus (30)

• On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
• Monopoles for Gravitation and for Higher Spin Fields
• Gravitational Duality Transformations on (A)dS4
• Energy-momentum/Cotton tensor duality for AdS4 black holes
• PM = EM: Partially Massless Duality Invariance
• Off-Shell Hodge Dualities in Linearised Gravity and E11
• On Asymptotic Flatness and Lorentz Charges
• Manifest spin 2 duality with electric and magnetic sources
• Supersymmetry and Gravitational Duality
• Why not a di-NUT? or Gravitational duality and rotating solutions
• Asymptotic Flatness, Taub-NUT, and Variational Principle
• Dual Gravity and Matter
• Electric-magnetic Duality and Deformations of Three-Dimensional CFT's
• Boosting Taub-NUT to a BPS NUT-wave
• Dual Linearised Gravity in Arbitrary Dimensions
• Boundary conditions for SU(2) Yang-Mills on $Ad{S}_4$
• Prepotentials for linearized supergravity
• Energy-momentum tensor and duality symmetry of linearized gravity in the Fierz formalism
• Duality-Symmetric Approach to General Relativity and Supergravity
• S-Dual Gravity in the Axial Gauge
• Manifest electric-magnetic duality in linearized conformal gravity
• Gravitons in a Casimir box
• Duality and integrability: Electromagnetism, linearized gravity and massless higher spin gauge fields as bi-Hamiltonian systems
• Electric-magnetic duality implies (global) conformal invariance
• Non-linear parent action and dual N=1 D=4 supergravity
• Aspects of electric-magnetic dualities in maximal supergravity
• Gravitational duality in General Relativity and Supergravity theories
• Gravielectric and gravimagnetic fluxes in nutty black holes
• Electric-magnetic duality as a quantum operator and more symmetries of $U(1)$ gauge theory
• Electric and magnetic aspects of gravitational theories