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arXiv · 2105.09021

Planar solutions of higher-spin theory I: free field level

V. E. Didenko·A. V. Korybut
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Abstract

Many black hole solutions of General Relativity are known to be linearly exact. This opens a way to study them in gauge theories that apart from gravity contain fields of higher spin $s>2$. Starting with a black brane in $AdS_4$ we find its free field higher-spin generalization that respects static and planar symmetry for all bosonic gauge fields $s\geq 0$. The solution is found for both the higher-spin curvatures and potentials in the form suitable for further non-linear analysis and satisfies the multi copy relation.

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V. E. Didenko, A. V. Korybut. 2021-05-19. Planar solutions of higher-spin theory I: free field level. https://doi.org/10.1007/jhep08(2021)144

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