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Constraints for Three-Dimensional Higher-Spin Interactions and Conformal Correlators

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

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1812.10462.pdf
(Preprint), 274KB

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Citation

Fredenhagen, S., Krüger, O., & Mkrtchyan, K. (in preparation). Constraints for Three-Dimensional Higher-Spin Interactions and Conformal Correlators.


Cite as: https://hdl.handle.net/21.11116/0000-0002-DC67-3
Abstract
In the context of higher-spin holography, we compare the classification of
cubic interaction vertices for higher-spin gravity theories in three dimensions
to the possible three-point correlation functions of conserved higher-spin
currents in two-dimensional conformal field theories. In both cases, the
allowed structures are governed by triangle inequalities for the involved
spins. It is established that higher-order correlators satisfy similar polygon
inequalities and that the same inequalities are valid for higher-order
continuations of cubic vertices in the three-dimensional higher-spin gravity.