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

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.

arXiv comment21 pages

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Cited by in corpus (9)

• On matter-free Higher Spin Gravities in 3d: (partially)-massless fields and general structure
• Cubic interactions of arbitrary spin fields in 3d flat space
• Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity
• On special quartic interaction of higher spin gauge fields with scalars and gauge symmetry commutator in the linear approximation
• Restrictions for $n$-Point Vertices in Higher-Spin Theories
• Cubic Interaction for Higher Spins in $Ad{S}_{d+1}$ space in the explicit covariant form
• Higher-spin gauge theories in three spacetime dimensions
• A note on higher-order vertices of higher-spin fields in flat and (A)dS space
• On correlation functions of higher-spin currents in arbitrary dimensions $d>3$