Planar solutions of higher-spin theory. Nonlinear corrections

TL;DR

This paper investigates nonlinear higher-spin corrections to black brane solutions in four dimensions, revealing a static planar symmetric solution with positive scalar condensate and Weyl tensors with double copy structure.

Contribution

It provides the first explicit form of higher-spin Weyl tensors and demonstrates their double copy origin in the context of nonlinear corrections.

Findings

Existence of static planar symmetric solutions in higher-spin theory.

Higher-spin Weyl tensors have a closed form and double copy structure.

Higher-spin fields induce a positive scalar condensate.

Abstract

Leading order higher-spin corrections to the linearized higher-spin black brane are analyzed in four dimensions. It is shown that the static solution that respects planar symmetry exists in the bosonic case at given order. Its higher-spin Weyl tensors are found in a closed form and are shown to have the double copy origin. The effect of higher-spin fields to form a strictly positive scalar condensate for any values of higher-spin charges is observed.