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Duality in Gravity and Higher Spin Gauge Fields
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Duality in Gravity and Higher Spin Gauge Fields
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Dual field theory realisations are given for linearised gravity in terms of gauge fields in exotic representations of the Lorentz group. The field equations and dual representations are discussed for a wide class of higher spin gauge fields. For non-linear Einstein gravity, such transformations can be implemented locally in light-cone gauge, or partially implemented in the presence of a Killing vector. Sources and the relation to Kaluza-Klein monopoles are discussed.
Forward citations
Cited by 7 Pith papers
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Manifest duality and Lorentz covariance for linearised gravity as edge modes
Linearised gravity in four dimensions is formulated as an edge mode of a five-dimensional topological field, achieving manifest Lorentz covariance and electric-magnetic duality symmetry.
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Mass/electric versus NUT/magnetic charges: duality from scattering amplitudes in $D\geq4$ and for all bosonic spins
Kerr-NUT mass/electric and equal-NUT/magnetic charges are dual in D≥4, realized as J_σ ↔ J_−σ in 3-point amplitudes generated by a spin-raising operator for all bosonic spins.
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Gravitational electric-magnetic duality at the light ring and quasinormal mode isospectrality in effective field theories
Gravitational electric-magnetic duality at the light ring organizes and preserves quasinormal mode isospectrality in GR and selects duality-invariant higher-derivative corrections in effective field theories.
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Memory effect from the scattering of Taub-NUT black holes
Soft theorems yield a gauge-invariant nutty soft factor and the associated memory tensor for Kerr-Taub-NUT scattering, with magnetic components and directional divergences absent in electromagnetism.
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The asymptotic charges of Curtright dual graviton and Curtright extensions of BMS algebra
The asymptotic charges of the Curtright dual graviton in D=5 split into scalar, vector, and TT sectors that close into an abelian extension of a BMS-like algebra when the vector parameter is restricted to o(4).
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Duality-covariant particles and exotic branes
Proposes enlarged worldline models with coadjoint orbit terms and generalized worldvolume theories for exotic branes that make E8 duality covariance manifest in a Hamiltonian formulation.
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Gravielectric and gravimagnetic fluxes in nutty black holes
Misner strings carry singular gravielectric and gravimagnetic fluxes that connect horizons to infinity, explaining negative Komar masses as incoming field lines and showing the strings are massless empty tubes.
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