Higher Spin Gravities and Presymplectic AKSZ Models
High Energy Physics - Theory
2022-01-19 v2
Abstract
As a step towards quantization of Higher Spin Gravities we construct the presymplectic AKSZ sigma-model for 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.
Cite
@article{arxiv.2102.02253,
title = {Higher Spin Gravities and Presymplectic AKSZ Models},
author = {Alexey Sharapov and Evgeny Skvortsov},
journal= {arXiv preprint arXiv:2102.02253},
year = {2022}
}
Comments
43+Appendices+biblio=70 pages; comments and refs added, matches the published version