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.
Asymptotic W-symmetries in three-dimensional higher-spin gauge theories
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abstract
We discuss how to systematically compute the asymptotic symmetry algebras of generic three-dimensional bosonic higher-spin gauge theories in backgrounds that are asymptotically AdS. We apply these techniques to a one-parameter family of higher-spin gauge theories that can be considered as large N limits of SL(N) x SL(N) Chern-Simons theories, and we provide a closed formula for the structure constants of the resulting infinite-dimensional non-linear W-algebras. Along the way we provide a closed formula for the structure constants of all classical W_N algebras. In both examples the higher-spin generators of the W-algebras are Virasoro primaries. We eventually discuss how to relate our basis to a non-primary quadratic basis that was previously discussed in literature.
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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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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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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).