Abstract
We study boundary conditions for 3-dimensional higher spin gravity that admit asymptotic symmetry algebras expected of 2-dimensional induced higher spin theories in the light-cone gauge. For the higher spin theory based on \( sl\left(3,\mathbb{R}\right)\oplus sl\left(3,\mathbb{R}\right) \) algebra, our boundary conditions give rise to one copy of classical W 3 and a copy of \( sl\left(3,\mathbb{R}\right) \) or su(1, 2) Kac-Moody as the asymptotic symmetry algebra. We propose that the higher spin theories with these boundary conditions describe appropriate chiral induced W-gravity theories on the boundary. We also consider boundary conditions of spin-3 higher spin gravity that admit a u(1) ⊕ u(1) current algebra.
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Poojary, R.R., Suryanarayana, N.V. Holographic chiral induced W-gravities. J. High Energ. Phys. 2015, 168 (2015). https://doi.org/10.1007/JHEP10(2015)168
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DOI: https://doi.org/10.1007/JHEP10(2015)168