Title: Effective action in a higher-spin background
Abstract: The regularised effective action, obtained after integrating out a scalar field with the most general quasi-local quadratic action, is computed perturbatively in the external fields, which are interpreted as an infinite tower of background higher-spin gauge fields. The non-Abelian group of higher-spin symmetries and anomalies, as well as the structure of the various (divergent or finite) terms, is determined. The relation with the holographic correspondence and with a generalized induced gravity programme (à la Sakharov) is discussed
TBA
Title: Asymptotic W-symmetries in 3D higher-spin gauge theories
Abstract: Three-dimensional higher-spin gauge theories can be described by Chern-Simons actions. However, the admissible classical solutions form a subspace of the full space of solutions of the Chern-Simons theory. On this subspace the Kac-Moody symmetry of the boundary WZW model reduces to a centrally extended non-linear W-algebra. To show this result for generic higher-spin theories we extend the Drinfeld-Sokolov reduction to infinite dimensional algebras.
TBA
Title: Unfolding of 5d Kerr black hole
Abstract: The unfolded formulation of Kerr black hole with two rotation parameters and nonvanishing cosmological constant in five dimensions is given in arbitrary coordinates. Black hole "hair" are associated to the first intergrals of the proposed unfolded equations. It is shown that the Kerr-Schild ansatz admits bosonic higher-spin extension thus paving way to HS black hole generalization in 5d
Title: Transverse-invariant Lagrangians for higher spins
TBA
Title: Higher Spin Holography
Title: Higher spin gauge field cubic interactions
Title: A string Model for AdS Gravity and Higher Spins
Abstract We construct a string sigma-model which low energy limit describes the anti de Sitter gravity and spin 3 massless fields in Vasiliev's frame-like formalism. The model is based on vertex operators generating vielbein and connection fields in the Mac Dowell - Mansoury - Stelle - West (MMSW) formulation of gravity. The structure of the vertex operators is based on the hidden symmetry generators in RNS superstring theory, realizing the isometry group of the AdS space. The beta-function equations in the sigma-model lead to equations of motion in the MMSW gravity with negative cosmological constant with the AdS geometry being the vacuum solution. Generalizations for the higher spin fields are analyzed and equations of motion for spin 3 fields in d=3 in frame-like formalism are obtained in the low energy limit of string theory. These equations correspond to those of sl(3,R) truncated Chern-Simons action based on higher spin algebra hs(1,1).
TBA
TBA
Title: Local interaction Lagrangians for an arbitrary number of higher spin fields that satisfy lowest order gauge invariance
Title: Cubic interactions of fields with mixed-symmetry
Abstract: Cubic interaction Fradkin-Vasiliev-like vertices are constructed for a simple class of mixed-symmetry fields. It is shown that gauging of Clifford algebra within the unfolded approach corresponds to interactions of fields with Young shape [k,1] with themselves and gravity, which is included as shape [1,1].
TBA
TBA
TBA
Title: Interactions of Higher Spins in AdS_{d}