Current Interactions from the One-Form Sector of Nonlinear Higher-Spin Equations

Abstract

The form of higher-spin current interactions in the sector of one-forms is derived from the nonlinear higher-spin equations in $Ad{S}_4$. Quadratic corrections to higher-spin equations are shown to be independent of the phase of the parameter $\eta =\exp i\phi$ in the full nonlinear higher-spin equations. The current deformation resulting from the nonlinear higher-spin equations is represented in the canonical form with the minimal number of space-time derivatives. The non-zero spin-dependent coupling constants of the resulting currents are determined in terms of the higher-spin coupling constant $\eta \bar{\eta }$. Our results confirm the conjecture that (anti-)self-dual nonlinear higher-spin equations result from the full system at ($\eta =0$) $\bar{\eta }=0$.

38 pages, no figures; V2: 39 pages, minor corrections, to be published version

References in corpus (6)

• On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
• Chern-Simons Matter Theories and Higher Spin Gravity
• On the Local Frame in Nonlinear Higher-Spin Equations
• Test of the local form of higher-spin equations via AdS/CFT
• On current contribution to Fronsdal equations
• Star-Product Functions in Higher-Spin Theory and Locality

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