On the Local Frame in Nonlinear Higher-Spin Equations

Abstract

Properties of the resolution operator ${\mathrm{d}}_{loc}^{\ast }$ in higher-spin equations, that leads to local current interactions at the cubic order and minimally nonlocal higher-order corrections, are formulated in terms of the condition on the class of master fields of higher-spin theory that restricts both the dependence on the spinor $Y$, $Z$ variables and on the contractions of indices between the constituent fields in bilinear terms. The Green function in the sector of zero-forms is found for the case of constituent fields carrying helicities of opposite signs. It is shown that the local resolution ${\mathrm{d}}_{loc}^{\ast }$ differs from the conventional De Rham resolution ${\mathrm{d}}_Z^{\ast }$ by a non-local shift.

26 pages; V2: typos corrected, version published in JHEP

References in corpus (6)

• Higher-Spin Theory and Space-Time Metamorphoses
• Chern-Simons Matter Theories and Higher Spin Gravity
• Current Interactions from the One-Form Sector of 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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• Current Interactions from the One-Form Sector of Nonlinear Higher-Spin Equations
• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
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• Test of the local form of higher-spin equations via AdS/CFT
• Spin-Locality of ${\eta }^2$ and ${\bar{\eta }}^2$ Quartic Higher-Spin Vertices
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• Bilinear Fronsdal currents in the $Ad{S}_4$ higher-spin theory
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