On holomorphic sector of higher-spin theory
Abstract
Recent investigation of locality problem for higher-spin fields led to a vertex reconstruction procedure that involved elements of contraction of the original Vasiliev interaction algebra. Inspired by these results we propose the Vasiliev-like generating equations for holomorphic higher-spin interactions in four dimensions based on the observed contracted algebra. We specify the functional class that admits evolution on the proposed equations and brings in a systematic procedure of extracting all-order holomorphic vertices. A simple consequence of the proposed equations is space-time locality of the gauge field sector. We also show that vertices come with a remarkable shift symmetry.
Cite
@article{arxiv.2209.01966,
title = {On holomorphic sector of higher-spin theory},
author = {V. E. Didenko},
journal= {arXiv preprint arXiv:2209.01966},
year = {2022}
}
Comments
37 pages. Few typos fixed. A major simplification of the projector identity resulted in the new form of eq. (4.11). Appendix B is extended correspondingly