43 citations · 181 across the 13 of their papers we have counts for
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Gauge transformations in Z-space in (anti)holomorphic sector of HS theory
D. A. Batyaev, A. V. Korybut
We consider a consistent deformation of the (anti)holomorphic generating system of [arXiv:2209.01966], aiming to provide a map to the (anti)holomorphic truncation of the Vasiliev t…
Self-dual gravity from higher-spin theory
V. E. Didenko, A. V. Korybut
Higher-spin symmetry is known to mix lower-spin fields with higher-spin fields, creating a complex interaction picture where no closed finite field sector is expected to exist for…
On consistency of the interacting (anti)holomorphic higher-spin sector
A. V. Korybut
In the recently proposed generating systems for the (anti)holomorphic sector of the 4d higher spin theory and for the off-shell higher spin theory in generic dimension locality was…
Interaction of symmetric higher-spin gauge fields
V. E. Didenko, A. V. Korybut
We show that the recently proposed equations for holomorphic sector of higher-spin theory in , also known as chiral, can be naturally extended to describe interacting symmetri…
On -dominance, shift symmetry and spin locality in higher-spin theory
V. E. Didenko, A. V. Korybut
The paper aims at the qualitative criterion of higher-spin locality. Perturbative analysis of the Vasiliev equations gives rise to the so-called -dominated non-localities which…
Planar solutions of higher-spin theory. Nonlinear corrections
V. E. Didenko, A. V. Korybut
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…
Planar solutions of higher-spin theory I: free field level
V. E. Didenko, A. V. Korybut
Many black hole solutions of General Relativity are known to be linearly exact. This opens a way to study them in gauge theories that apart from gravity contain fields of higher sp…
Manifest Form of the Spin-Local Higher-Spin Vertex
O. A. Gelfond, A. V. Korybut
Vasiliev generating system of higher-spin equations allowing to reconstruct nonlinear vertices of field equations for higher-spin gauge fields contains a free complex parameter …
Spin-Locality of and Quartic Higher-Spin Vertices
V. E. Didenko, O. A. Gelfond, A. V. Korybut +1
Higher-spin theory contains a complex coupling parameter . Different higher-spin vertices are associated with different powers of and its complex conjugate . Using $…
Star product for deformed oscillator algebra
A. V. Korybut
An analogue of the Moyal star product is presented for the deformed oscillator algebra. It contains several homotopy-like additional integration parameters in the multiplication ke…
Limiting Shifted Homotopy in Higher-Spin Theory and Spin-Locality
V. E. Didenko, O. A. Gelfond, A. V. Korybut +1
Higher-spin vertices containing up to quintic interactions at the Lagrangian level are explicitly calculated in the one-form sector of the non-linear unfolded higher-spin equations…
Homotopy Properties and Lower-Order Vertices in Higher-Spin Equations
V. E. Didenko, O. A. Gelfond, A. V. Korybut +1
New homotopy approach to the analysis of nonlinear higher-spin equations is developed. It is shown to directly reproduce the previously obtained local vertices. Simplest cubic (qua…
Covariant Structure Constants for Deformed Oscillator Algebra
A. V. Korybut
-covariant expressions for structure constants of the associative algebra of deformed oscillators are obtained.