Current interactions and holography from the 0-form sector of nonlinear higher-spin equations

• Main Author: M.A. Vasiliev
• Format: Article
• Language: English
• Published: SpringerOpen 2017-10-01
• Series: Journal of High Energy Physics
• Subjects: Higher Spin Gravity; AdS-CFT Correspondence; Higher Spin Symmetry
• Online Access: http://link.springer.com/article/10.1007/JHEP10(2017)111

Abstract The form of higher-spin current interactions in AdS4 is derived from the full nonlinear higher-spin equations in the sector of Weyl 0-forms. The coupling constant in front of spin-one currents built from scalars and spinors as well as Yukawa coupling are determined explicitly. Couplings of all other higher-spin current interactions are determined implicitly. All couplings are shown to be independent of the phase parameter of the nonlinear higher-spin theory. The proper holographic dependence of the vertex on the higher-spin phase parameter is shown to result from the boundary conditions on the bulk fields.