2018/04/30 by Evgeny D. Skvortsov, Tung Tran, Mirian Tsulaia · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevlett.121.031601
published as Phys. Rev. Lett. 121, 031601 (2018) · 5 pages, 7 figures
arxiv created 2018/04/30 · arxiv updated 2018/07/25
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.