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arXiv · 1805.00048

Quantum Chiral Higher Spin Gravity

Evgeny D. Skvortsov·Tung Tran·Mirian Tsulaia
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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.

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Evgeny D. Skvortsov, Tung Tran, Mirian Tsulaia. 2018-04-30. Quantum Chiral Higher Spin Gravity. https://doi.org/10.1103/physrevlett.121.031601

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