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High Energy Physics - Theory, hep-th
Abstract:
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.