Star-Product Functions in Higher-Spin Theory and Locality

Abstract

Properties of the functional classes of star-product elements associated with higher-spin gauge fields and gauge parameters are elaborated. Cohomological interpretation of the nonlinear higher-spin equations is given. An algebra $\mathcal{H}$, where solutions of the nonlinear higher-spin equations are valued, is found. A conjecture on the classes of star-product functions underlying (non)local maps and gauge transformations in the nonlinear higher-spin theory is proposed.

25 pages; V2: The version to appear in JHEP, typos corrected, a comment in Section 6 added

References in corpus (2)

• On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
• On Classical Solutions of 4d Supersymmetric Higher Spin Theory

Cited by in corpus (3)

• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
• Test of the local form of higher-spin equations via AdS/CFT
• Projectively-Compact Spinor Vertices and Space-Time Spin-Locality in Higher-Spin Theory