English

Star-Product Functions in Higher-Spin Theory and Locality

High Energy Physics - Theory 2015-05-29 v2

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 H{\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.

Keywords

Cite

@article{arxiv.1502.02271,
  title  = {Star-Product Functions in Higher-Spin Theory and Locality},
  author = {M. A. Vasiliev},
  journal= {arXiv preprint arXiv:1502.02271},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T08:24:53.143Z