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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>AdS</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>CFT</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>construction from collective fields
We pursue the construction of higher-spin theory in ${\mathrm{AdS}}_{4}$ from ${\mathrm{CFT}}_{3}$ of the O(N) vector model in terms of canonical collective fields. In null-plane quantization an exact map is established between the two spaces. The coordinates of the ${\mathrm{AdS}}_{4}$ space-time are generated from the collective coordinates of the bi-local field. …