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arXiv · 1812.10462

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

Stefan Fredenhagen·Olaf Krüger·Karapet Mkrtchyan
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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.

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Stefan Fredenhagen, Olaf Krüger, Karapet Mkrtchyan. 2018-12-26. Constraints for Three-Dimensional Higher-Spin Interactions and Conformal Correlators. https://doi.org/10.1103/physrevd.100.066019

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