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We conjecture that Vasiliev's theory of higher spin gravity in four-dimensional de Sitter space (dS) is holographically dual to a three-dimensional conformal field theory (CFT) living on the spacelike boundary of dS at future timelike…

High Energy Physics - Theory · Physics 2011-08-31 Dionysios Anninos , Thomas Hartman , Andrew Strominger

I take steps toward the construction of a CFT dual to Vasiliev's higher spin gravity in three dimensional de Sitter space. There are two main claims. The first is that higher spin de Sitter symmetries are related to extended Virasoro…

High Energy Physics - Theory · Physics 2011-11-02 Peter Ouyang

In this paper we simplify and extend previous work on three-point functions in Vasiliev's higher spin gauge theory in AdS4. We work in a gauge in which the space-time dependence of Vasiliev's master fields is gauged away completely, leaving…

High Energy Physics - Theory · Physics 2011-08-02 Simone Giombi , Xi Yin

We review the theory of higher spin gauge fields in 2+1 and 3+1 dimensional anti-de Sitter space and present some new results on the structure of higher spin currents and explicit solutions of the massless equations. A previously obtained…

High Energy Physics - Theory · Physics 2016-11-23 Mikhail Vasiliev

In this paper we calculate the tree level three-point functions of Vasiliev's higher spin gauge theory in AdS4 and find agreement with the correlators of the free field theory of N massless scalars in three dimensions in the O(N) singlet…

High Energy Physics - Theory · Physics 2014-11-20 Simone Giombi , Xi Yin

Holographic duality is argued to relate classes of models that have equivalent unfolded formulation, hence exhibiting different space-time visualizations for the same theory. This general phenomenon is illustrated by the $AdS_4$ higher-spin…

High Energy Physics - Theory · Physics 2015-06-04 Mikhail A. Vasiliev

We discuss in detail the $1+1$-dimensional superconformal field theory dual to type II string theory on $AdS_3\times S^3\times T^4$, emphasizing the string theoretic aspects of this duality. For one unit of NS-NS 5-brane flux ($Q_5=1$),…

High Energy Physics - Theory · Physics 2024-07-08 Ofer Aharony , Erez Y. Urbach

Vasiliev's higher-spin theories in various dimensions are uniformly represented as a simple system of equations. These equations and their gauge invariances are based on two superalgebras and have a transparent algebraic meaning. For a…

High Energy Physics - Theory · Physics 2015-06-23 K. B. Alkalaev , Maxim Grigoriev , E. D. Skvortsov

Motivated by string field theory, we explore various algebraic aspects of higher spin theory and Vasiliev equation in terms of homotopy algebras. We present a systematic study of unfolded formulation developed for the higher spin equation…

High Energy Physics - Theory · Physics 2020-08-21 Si Li , Keyou Zeng

We investigate the behaviour of the bosonic string on AdS3 with H-flux at stringy scales, looking in particular for a `tensionless' limit in which there are massless higher spin gauge fields. We do this by revisiting the physical spectrum…

High Energy Physics - Theory · Physics 2017-08-02 Matthias R. Gaberdiel , Rajesh Gopakumar , Chris Hull

We propose a hybrid class of theories for higher spin gravity and matrix models, i.e. which handle simultaneously higher spin gravity fields and matrix models. The construction is similar to Vasiliev's higher spin gravity but part of the…

High Energy Physics - Theory · Physics 2017-10-24 Mauricio Valenzuela

We discuss the notion of tensionless limit in quantum bosonic string theory, especially in flat Minkowski space, noncompact group manifolds (e.g., SL(2,R)) and coset manifolds (e.g., AdS). We show that in curved space typically there exists…

High Energy Physics - Theory · Physics 2010-04-05 Ulf Lindstrom , Maxim Zabzine

New holographic prescription for the model of 3d higher-spin gravity coupled to real matter fields $B_{\mu\nu}$ and $C$, which was introduced in ArXiv:1304.7941[hep-th], is formulated. By using a local symmetry, two of the components of…

High Energy Physics - Theory · Physics 2014-03-05 Ippei Fujisawa , Kenta Nakagawa , Ryuichi Nakayama

The CFT dual of string theory on $({\rm AdS}_3 \times {\rm S}^3)/\mathbb{Z}_k\times \mathbb{T}^4$ is believed to be described by the subspace of the symmetric orbifold of $\mathbb{T}^4$ that comprises the low-lying excitations on top of a…

High Energy Physics - Theory · Physics 2025-11-12 Matthias R. Gaberdiel , Bin Guo

In this paper we generalize Vasiliev's higher-spin gravity theory in 3d into $\mathcal{N} = (0, 2)$ case, by which we mean that the asymptotic symmetry of such a gravity theory have the structure of 2d $\mathcal{N} = (0, 2)$ superconformal…

High Energy Physics - Theory · Physics 2026-03-23 Zisong Cao

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

A contribution to the collection of reviews "Introduction to Higher Spin Theory" edited by S. Fredenhagen, this introductory article is a pedagogical account of higher-spin fields and their connections with String Theory. We start with the…

High Energy Physics - Theory · Physics 2016-04-19 Rakibur Rahman , Massimo Taronna

We consider type-A higher-spin gravity in AdS_4, holographically dual to a free U(N) vector model on the boundary. We study the linearized version of the Didenko-Vasiliev "BPS black hole", which we view as this theory's equivalent of the…

High Energy Physics - Theory · Physics 2022-10-26 Vyacheslav Lysov , Yasha Neiman

In these lectures we give an overview of the duality between gravitational theories of massless higher spin fields in AdS and large N vector models. We first review the original higher spin/vector model duality conjectured by Klebanov and…

High Energy Physics - Theory · Physics 2016-11-02 Simone Giombi

We propose a new gauge field theory which is an extension of ordinary string field theory by assembling multiple state spaces of the bosonic string. The theory includes higher spin fields in its massless spectrum together with the infinite…

High Energy Physics - Theory · Physics 2015-06-17 Masako Asano , Mitsuhiro Kato