Differential contracting homotopy unifies all known disentangling solutions for dynamical and topological fields in linear 3d higher-spin theory and offers an alternative derivation.
Current Interactions and Holography from the 0-Form Sector of Nonlinear Higher-Spin Equations
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abstract
The form of higher-spin current interactions in $AdS_4$ is derived from the full nonlinear higher-spin equations in the sector of Weyl 0-forms. The coupling constant in front of spin-one currents built from scalars and spinors as well as Yukawa coupling are determined explicitly. Couplings of all other higher-spin current interactions are determined implicitly. All couplings are shown to be independent of the phase parameter of the nonlinear higher-spin theory. The proper holographic dependence of the vertex on the higher-spin phase parameter is shown to result from the boundary conditions on the bulk fields.
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UNVERDICTED 2representative citing papers
Self-dual gravity with cosmological constant emerges uniquely as the rigid lower-spin sector of four-dimensional higher-spin interactions when only self-dual vertices are kept.
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Differential Contracting Homotopy in the Linearized 3d Higher-Spin Theory
Differential contracting homotopy unifies all known disentangling solutions for dynamical and topological fields in linear 3d higher-spin theory and offers an alternative derivation.
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Self-dual gravity from higher-spin theory
Self-dual gravity with cosmological constant emerges uniquely as the rigid lower-spin sector of four-dimensional higher-spin interactions when only self-dual vertices are kept.