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Journal Article

Vertex-Constraints in 3D Higher Spin Theories

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

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1905.00093.pdf
(Preprint), 143KB

PhysRevLett.123.131601.pdf
(Publisher version), 192KB

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Citation

Fredenhagen, S., Krüger, O., & Mkrtchyan, K. (2019). Vertex-Constraints in 3D Higher Spin Theories. Physical Review Letters, 123(13): 131601. doi:10.1103/PhysRevLett.123.131601.


Cite as: https://hdl.handle.net/21.11116/0000-0003-9F28-E
Abstract
We analyse the constraints imposed by gauge invariance on higher-order
interactions between massless bosonic fields in three-dimensional higher-spin
gravities. We show that vertices of quartic and higher order that are
independent of the cubic ones can only involve scalars and Maxwell fields. As a
consequence, the full non-linear interactions of massless higher-spin fields
are completely fixed by the cubic vertex.