Scalar Field Corrections to AdS_4 Gravity from Higher Spin Gauge Theory
Fredric Kristiansson, Peter Rajan

TL;DR
This paper calculates the scalar field's quadratic contributions to the stress-energy tensor in four-dimensional higher spin gravity, revealing high-derivative terms and parity-dependent sign effects.
Contribution
It provides the first complete computation of scalar-induced stress-energy corrections in minimal bosonic higher spin theory in D=4.
Findings
Presence of arbitrarily high derivative terms
Total sign of stress-energy tensor depends on scalar parity
Complete quadratic scalar contribution derived
Abstract
We compute the complete contribution to the stress-energy tensor in the minimal bosonic higher spin theory in D=4 that is quadratic in the scalar field. We find arbitrarily high derivative terms, and that the total sign of the stress-energy tensor depends on the parity of the scalar field.
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