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Related papers: Invariant Functionals in Higher-Spin Theory

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We explore conformally coupled scalar theory in AdS$_{6}$ extensively and their classical solutions by employing power expansion order by order in its self-interaction coupling $\lambda$. We study holographic correlation functions of scalar…

High Energy Physics - Theory · Physics 2020-12-30 Jae-Hyuk Oh

We formulate gauge invariant interactions of totally symmetric tensor and tensor-spinor higher spin gauge fields in AdS(5) that properly account for higher-spin-gravitational interactions at the action level in the first nontrivial order.

High Energy Physics - Theory · Physics 2009-11-07 K. B. Alkalaev , M. A. Vasiliev

Nonlinear field equations for the supersymmetric higher-spin gauge theory describing totally symmetric bosonic and fermionic massless fields along with hook-type bosonic fields of all spins in any space-time dimension are presented. One of…

High Energy Physics - Theory · Physics 2025-07-14 M. A. Vasiliev

We include a new 7-form ansatz in 11-dimensional supergravity over AdS_4 x S^7/Z_k when the internal space is considered as a U(1) bundle on CP^3. After a general analysis of the ansatz, we take a special form of it and obtain a scalar…

High Energy Physics - Theory · Physics 2018-08-02 M. Naghdi

We elaborate on conformal higher-spin gauge theory in three-dimensional (3D) curved space. For any integer $n>2$ we introduce a conformal spin-$\frac{n}{2}$ gauge field $h_{(n)} =h_{\alpha_1\dots \alpha_n}$ (with $n$ spinor indices) of…

High Energy Physics - Theory · Physics 2018-11-14 Sergei M. Kuzenko , Michael Ponds

We determine the boundary terms of the free higher-spin action which reproduce the AdS Fronsdal equations in an AdS manifold with a finite distance boundary. The boundary terms are further constrained by the gauge invariance of the total…

High Energy Physics - Theory · Physics 2015-06-03 Euihun Joung , Jihad Mourad

We determine the form of a significantly large class of gauge-invariant quartic vertices for symmetric higher-spin fields (in Vasiliev formalism) in AdS5 space in the rectangular limit, (defined in the paper) using the higher-spin vertex…

High Energy Physics - Theory · Physics 2018-09-28 Dimitri Polyakov , Cong Zhang

Using the recent parity-based construction of a covariant basis for operators acting on the $(j,0)\oplus(0,j)$ representation of the HLG, we propose a formalism for the description of high spin matter fields, based on the projection over…

High Energy Physics - Phenomenology · Physics 2013-09-05 M. Napsuciale , Selim Gómez-Ávila

We study Vasiliev's system of higher spin gauge fields coupled to massive scalars in AdS_3, and compute the tree level two and three point functions. These are compared to the large N limit of the W_N minimal model, and nontrivial…

High Energy Physics - Theory · Physics 2015-05-28 Chi-Ming Chang , Xi Yin

In this work we construct an infinite class of four-point functions for massless higher-spin fields in flat space that are consistent with the gauge symmetry. In the Lagrangian picture, these reflect themselves in a peculiar non-local…

High Energy Physics - Theory · Physics 2015-05-30 M. Taronna

In the context of recently proposed holographic dualities between higher spin theories in AdS3 and 1+1-dimensional CFTs with W-symmetry algebras, we revisit the definition of higher spin black hole thermodynamics and the dictionary between…

High Energy Physics - Theory · Physics 2018-10-09 Geoffrey Compère , Juan I. Jottar , Wei Song

We review recent progress in the construction of black holes in three dimensional higher spin gravity theories. Starting from spin-3 gravity and working our way toward the theory of an infinite tower of higher spins coupled to matter, we…

High Energy Physics - Theory · Physics 2015-06-11 Martin Ammon , Michael Gutperle , Per Kraus , Eric Perlmutter

We study the spectrum of pure massless higher spin theories in $AdS_3$. The light spectrum is given by a tower of massless particles of spin $s=2,\cdots,N$ and their multi-particles states. Their contribution to the torus partition function…

High Energy Physics - Theory · Physics 2020-12-30 Luis F. Alday , Jin-Beom Bae , Nathan Benjamin , Carmen Jorge-Diaz

This paper studies a particular class of higher order conformally invariant dif- ferential operators and related integral operators acting on functions taking values in particular finite dimensional irreducible representations of the Spin…

Differential Geometry · Mathematics 2016-08-18 Chao Ding , Raymond Walter , John Ryan

This paper is mainly a review of the dualities between Vasiliev's higher spin gauge theories in AdS4 and three dimensional large N vector models, with focus on the holographic calculation of correlation functions of higher spin currents. We…

High Energy Physics - Theory · Physics 2015-06-11 Simone Giombi , Xi Yin

We construct gauge theory of interacting symmetric traceless tensor fields of all ranks s=0,1,2,3, ... which generalizes Weyl-invariant dilaton gravity to the higher spin case, in any dimension d>2. The action is given by the trace of the…

High Energy Physics - Theory · Physics 2010-04-05 A. Y. Segal

We compute boundary three-point functions involving two scalars and a gauge field of arbitrary spin in the AdS vacuum of Vasiliev's higher spin gravity, for any deformation parameter \lambda. In the process, we develop tools for extracting…

High Energy Physics - Theory · Physics 2017-08-23 Martin Ammon , Per Kraus , Eric Perlmutter

The recently proposed differential homotopy approach to the analysis of nonlinear higher spin theory is developed. The Ansatz is extended to the form applicable in the second order of the perturbation theory and general star-multiplication…

High Energy Physics - Theory · Physics 2026-01-27 P. T. Kirakosiants , D. A. Valerev , M. A. Vasiliev

We study $3d$ SCFTs in the superspace formalism and discuss superfields and on-shell higher spin current multiplets in free $3d$ SCFTs with $\mathcal{N}= 1,2,3,4$ and $6$ superconformal symmetry. For $\mathcal{N}=1$ 3d SCFTs we determine…

High Energy Physics - Theory · Physics 2015-06-17 Amin A. Nizami , Tarun Sharma , V. Umesh

We construct $AdS_3\times Y_7$ solutions of type IIB supergravity, where $Y_7$ is a smooth $S^5$ bundle over a spindle $\Sigma(n_N,n_S)$, which are dual to $\mathcal{N}=(0,2)$ SCFTs in $d=2$. The solutions are constructed using the $D=5$…

High Energy Physics - Theory · Physics 2026-05-21 Igal Arav , Jerome P. Gauntlett , Matthew M. Roberts , Christopher Rosen