Homotopy Operators and Locality Theorems in Higher-Spin Equations
High Energy Physics - Theory
2018-10-16 v4
Abstract
A new class of shifted homotopy operators in higher-spin gauge theory is introduced. A sufficient condition for locality of dynamical equations is formulated and Pfaffian Locality Theorem identifying a subclass of shifted homotopies that decrease the degree of non-locality in higher orders of the perturbative expansion is proven.
Cite
@article{arxiv.1805.11941,
title = {Homotopy Operators and Locality Theorems in Higher-Spin Equations},
author = {O. A. Gelfond and M. A. Vasiliev},
journal= {arXiv preprint arXiv:1805.11941},
year = {2018}
}
Comments
22 pages, no figures; V3: Some normalizations changed to conform to 1807.00001, acknowledgement added; V4: 20 pages. Matches the published version. Clarifications and reference added. Section 7 is removed in favor of a more detailed future publication