On $z$-dominance, shift symmetry and spin locality in higher-spin theory

Abstract

The paper aims at the qualitative criterion of higher-spin locality. Perturbative analysis of the Vasiliev equations gives rise to the so-called $z$-dominated non-localities which nevertheless disappear from interaction vertices leaving the final result spin-local in all known cases. This has led one to the $z$ -- dominance conjecture that suggests universality of the observed cancellations. Here we specify conditions which include observation of the higher-spin shift symmetry and prove validity of this recently proposed conjecture. We also define a class of spin-local and shift-symmetric field redefinitions which is argued to be the admissible one with respect to spin-locality.

31 pages

References in corpus (4)

• On holomorphic sector of higher-spin theory
• Projectively-Compact Spinor Vertices and Space-Time Spin-Locality in Higher-Spin Theory
• Metaplectic representation and ordering (in)dependence in Vasiliev's higher spin gravity
• Bulk locality and gauge invariance for boundary-bilocal cubic correlators in higher-spin gravity

Cited by in corpus (1)

• BRST-BV approach for interacting higher spin fields