Scalar Field Corrections to AdS_4 Gravity from Higher Spin Gauge Theory

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.

arXiv comment15 pages + appendix (30 pages)

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• From Free Fields to $AdS$
• Cubic Vertices for Symmetric Higher-Spin Gauge Fields in $(A)d{S}_d$
• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• An Exact Solution of 4D Higher-Spin Gauge Theory
• Families of exact solutions to Vasiliev's 4D equations with spherical, cylindrical and biaxial symmetry
• On the covariant quantization of tensionless bosonic strings in AdS spacetime
• Gauge invariant Lagrangian construction for massive higher spin fermionic fields
• Higher Spins and Matter Interacting in Dimension Three
• New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity
• Invariant Differential Operators and Characters of the AdS_4 Algebra