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We construct a CFT with $\mathfrak{sl}(2,\mathbb{R})_k$ symmetry at the `tensionless' point $k=3$, which is distinct from the usual $\mathrm{SL}(2,\mathbb{R})_{k=3}$ WZW model. This new CFT is much simpler than the generic WZW model: in…

High Energy Physics - Theory · Physics 2026-01-22 Lorenz Eberhardt , Matthias R. Gaberdiel

A class of higher-spin gauge theories on $AdS_4$ associated with various Coxeter groups $\mathcal{C}$ is analyzed at the linear order. For a general $\mathcal{C}$, a solution corresponding to the $AdS_4$ space and the form of the free…

High Energy Physics - Theory · Physics 2025-08-12 A. A. Tarusov , K. A. Ushakov , M. A. Vasiliev

We take the first steps towards non-AdS holography in higher spin gravity. Namely, we propose a variational principle for generic 3-dimensional higher spin gravity that accommodates asymptotic backgrounds beyond AdS, like asymptotically…

High Energy Physics - Theory · Physics 2013-06-18 Michael Gary , Daniel Grumiller , Radoslav Rashkov

We develop a theory of massive spinning particles interacting with background fields in four spacetime dimensions in which holomorphy and chirality play a central role. Applying a perturbation theory of symplectic forms to the massive…

High Energy Physics - Theory · Physics 2023-08-09 Joon-Hwi Kim , Sangmin Lee

Tensionless string theory on AdS3 x S3 x T4, as captured by a free symmetric product orbifold, has a large set of conserved currents which can be usefully organised in terms of representations of a N=(4,4) supersymmetric higher spin…

High Energy Physics - Theory · Physics 2015-02-12 Matthias R Gaberdiel , Rajesh Gopakumar

We investigate higher spin AdS$_{3}$ gravity with real split forms of complex A$_{N}$ B$_{N}$, C$_{N}$ and D$_{N}$ Lie algebras. This is done by linking $SO(1,2)$ spin multiplets with splitted root systems using Tits-Satake diagrams of real…

High Energy Physics - Theory · Physics 2024-09-27 Rajae Sammani , Youssra Boujakhrout , El Hassan Saidi , Rachid Ahl Laamara , Lalla Btissam Drissi

We study the chiral higher-spin symmetry algebras $\mathfrak{ca}$ of various twistorial higher-spin theories. These symmetries play the roles of asymptotic symmetries on the celestial twistor sphere, which constrain the observables of…

High Energy Physics - Theory · Physics 2025-12-30 Tung Tran

We consider a four dimensional generalized Wess-Zumino model formulated in terms of an arbitrary K\"{a}hler potential $\mathcal{K}(\Phi,\bar{\Phi})$ and an arbitrary chiral superpotential $\mathcal{W}(\Phi)$. A general analysis is given to…

High Energy Physics - Theory · Physics 2018-07-04 I. L. Buchbinder , S. James Gates , Konstantinos Koutrolikos

We construct the higher spin wave functions in the embedding space of anti-de Sitter Lorentzian spacetime. These wave functions are built from a primary wave functions that has a simple structure expressed in terms of the special conformal…

High Energy Physics - Theory · Physics 2025-11-21 David Berenstein , Ziyi Li

We denote generating functions of massless even higher spin fields "primitive string fields" (PSF's). In an introduction we present the necessary definitions and derive propagators and currents of these PDF's on flat space. Their off-shell…

High Energy Physics - Theory · Physics 2015-05-20 Werner Ruehl

We discuss $SL(N,\mathbb{C})$ Chern-Simons higher spin gauge theories in Euclidean AdS$_3$. With appropriate boundary term, we derive the higher spin generalization of Schwarzian on-shell action. We investigate gravitationally dressed…

High Energy Physics - Theory · Physics 2019-09-04 Prithvi Narayan , Junggi Yoon

The vectorial holographic correspondences between higher-spin theories in AdS$_5$ and free vector models on the boundary are extended to the cases where the latter is described by free massless spin-$j$ field. The dual higher-spin theory in…

High Energy Physics - Theory · Physics 2017-02-01 Jin-Beom Bae , Euihun Joung , Shailesh Lal

A special embedding of the SU(4) algebra in SU(10), including both spin two and spin three symmetry generators, is constructed. A possible five dimensional action for massless spin two and three fields with cubic interaction is constructed.…

High Energy Physics - Theory · Physics 2015-06-15 R. Manvelyan , K. Mkrtchyan , R. Mkrtchyan , S. Theisen

We conjecture that the level k U(N) Chern-Simons theory coupled to free anticommuting scalar matter in the fundamental is dual to non-minmal higher-spin Vasiliev gravity in dS4 with parity-violating phase \theta0 = \pi N/2k and Neumann…

High Energy Physics - Theory · Physics 2013-10-01 Chi-Ming Chang , Abhishek Pathak , Andrew Strominger

In this paper we investigate gravitational interactions of massive higher spin fields in three dimensional $AdS$ space with arbitrary value of cosmological constant including flat Minkowski space. We use frame-like gauge description for…

High Energy Physics - Theory · Physics 2015-06-11 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

We formulate AdS_2 higher spin gravity as BF theory with fields taking values in sl(N,R) algebra treated as higher spin algebra. The theory is topological and naturally extends the Jackiw-Teitelboim gravity model so as to include higher…

High Energy Physics - Theory · Physics 2015-06-18 K. B. Alkalaev

It was recently proposed that a large N limit of a family of minimal model CFTs is dual to a certain higher spin gravity theory in AdS_3, where the 't Hooft coupling constant of the CFT is related to a deformation parameter of the higher…

High Energy Physics - Theory · Physics 2011-05-16 Matthias R. Gaberdiel , Thomas Hartman

We study the imprint of higher spin supermultiplets on cosmological correlators, namely the non-Gaussianity of the cosmic microwave background. Supersymmetry is used as a guide to introduce the contribution of fermionic higher spin…

High Energy Physics - Theory · Physics 2019-10-25 Stephon Alexander , S. James Gates , Leah Jenks , K. Koutrolikos , Evan McDonough

We systematically study the phase diagram of S=2 spin chain, by means of density-matrix renormalization group and exact diagonalization methods and confirm the presence of a dimer phase in the AKLT--SZH model. We find that the whole phase…

Strongly Correlated Electrons · Physics 2015-05-20 Hong-Chen Jiang , Stephan Rachel , Zheng-Yu Weng , Shou-Cheng Zhang , Zhenghan Wang

We review how the AdS/CFT correspondence is motivated within string theory, and discuss how it is generalized to gauge/gravity duality. In particular, we highlight the relation to quantum information theory by pointing out that the Fisher…

High Energy Physics - Theory · Physics 2018-07-27 Johanna Erdmenger