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Journal Article

Quantum Chiral Higher Spin Gravity


Skvortsov,  Evgeny
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Skvortsov, E., Tran, T., & Tsulaia, M. (2018). Quantum Chiral Higher Spin Gravity. Physical Review Letters, 121: 031601. doi:10.1103/PhysRevLett.121.031601.

Cite as: http://hdl.handle.net/21.11116/0000-0001-542D-F
An example of a higher spin gravity in four-dimensional flat space has recently been constructed in arXiv:1609.04655 [hep-th]. This theory is chiral and the action is written in the light-cone gauge. The theory has certain stringy features, e.g. admits Chan-Paton factors. We show that the theory is consistent, both at the classical and quantum level. Even though the interactions are non-trivial, due to the coupling conspiracy all tree level amplitudes vanish on-shell. The loop corrections also vanish. Therefore, the full quantum S-matrix is one and the theory is consistent with the numerous no-go theorems. This provides the first example of a (quantum) interacting higher spin gravity with an action. We argue that higher spin gravities in AdS space should display the same features.