Constraints for Three-Dimensional Higher-Spin Interactions and Conformal Correlators
High Energy Physics - Theory
2019-09-25 v1
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.
Cite
@article{arxiv.1812.10462,
title = {Constraints for Three-Dimensional Higher-Spin Interactions and Conformal Correlators},
author = {Stefan Fredenhagen and Olaf Krüger and Karapet Mkrtchyan},
journal= {arXiv preprint arXiv:1812.10462},
year = {2019}
}
Comments
21 pages