Higher spin gravities and presymplectic AKSZ models

DOI10.1016/J.NUCLPHYSB.2021.115551zbMATH Open1506.81046arXiv2102.02253OpenAlexW3127172164MaRDI QIDQ2238003

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Publication date: 28 October 2021

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Abstract: As a step towards quantization of Higher Spin Gravities we construct the presymplectic AKSZ sigma-model for $4d$ Higher Spin Gravity which is AdS/CFT dual of Chern-Simons vector models. It is shown that the presymplectic structure leads to the correct quantum commutator of higher spin fields and to the correct algebra of the global higher spin symmetry currents. The presymplectic AKSZ model is proved to be unique, it depends on two coupling constants in accordance with the AdS/CFT duality, and it passes some simple checks of interactions.

Full work available at URL: https://arxiv.org/abs/2102.02253

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