On Classical Solutions of 4d Supersymmetric Higher Spin Theory

Abstract

We present a simple construction of solutions to the supersymmetric higher spin theory based on solutions to bosonic theories. We illustrate this for the case of the Didenko-Vasiliev solution in arXiv:0906.3898, for which we have found a striking simplification where the higher-spin connection takes the vacuum value. Studying these solutions further, we check under which conditions they preserve some supersymmetry in the bulk, and when they are compatible with the boundary conditions conjectured to be dual to certain 3d SUSY Chern-Simons-matter theories. We perform the analysis for a variety of theories with $\mathcal{N}$ = 2, $\mathcal{N}$ = 3, $\mathcal{N}$ = 4 and $\mathcal{N}$ = 6 and find a rich spectrum of $1/4$, $1/3$ and $1/2$-BPS solutions.

arXiv commentv2: 42 pages, section 5 extended, reference added. Version to appear in JHEP

References in corpus (18)

• AdS Dual of the Critical O(N) Vector Model
• Massless Higher Spins and Holography
• Fractional M2-branes
• The General Kerr-de Sitter Metrics in All Dimensions
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• Higher Spin Gauge Theories: Star-Product and AdS Space
• Higher-Spin Gauge Theories in Four, Three and Two Dimensions
• Gauge Theories and Macdonald Polynomials
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• The Higher Spin/Vector Model Duality
• Static BPS black hole in 4d higher-spin gauge theory
• An Exact Solution of 4D Higher-Spin Gauge Theory
• Families of exact solutions to Vasiliev's 4D equations with spherical, cylindrical and biaxial symmetry
• Real Forms of Complex Higher Spin Field Equations and New Exact Solutions
• On N=1,2,4 Higher Spin Gauge Theories in Four Dimensions
• Vector Models in the Singlet Sector at Finite Temperature
• An axial gauge ansatz for higher spin theories

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