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Higher-order chiral scalar from boundary reduction of 3d higher-spin gravity
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abstract
We use a recently proposed covariant procedure to reduce the Chern-Simons action of three-dimensional higher-spin gravity to the boundary, resulting in a Lorentz covariant action for higher-order chiral scalars. After gauge-fixing, we obtain a higher-derivative action generalizing the $s=1$ Floreanini-Jackiw and $s=2$ Alekseev-Shatashvili actions to arbitrary spin $s$. For simplicity, we treat the case of general spin at the linearized level, while the full non-linear asymptotic boundary conditions are presented in component form for the $SL(3,\mathbb R)$ case. Finally, we extend the spin-3 linearized analysis to a background with non-trivial higher-spin charge and show that it has a richer structure of zero modes.
Forward citations
Cited by 3 Pith papers
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