Higher Spin Gravities and Presymplectic AKSZ Models
arXiv:2102.02253 · doi:10.1016/j.nuclphysb.2021.115551
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.
43+Appendices+biblio=70 pages; comments and refs added, matches the published version
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Cited by in corpus (11)
- Actions for Self-dual Higher Spin Gravities
- Minimal models of field theories: Chiral Higher Spin Gravity
- Minimal model of Chiral Higher Spin Gravity
- Slightly Broken Higher Spin Symmetry: General Structure of Correlators
- Presymplectic structures and intrinsic Lagrangians for massive fields
- Minimal models of field theories: SDYM and SDGR
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