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We construct superconformal invariants in superspace which are used to build 3-point correlators of spinning operators in general $\cal{N}=2$ superconformal field theories in three dimensions. Our systematic analysis includes various…

High Energy Physics - Theory · Physics 2022-12-22 Aditya Jain , Amin A. Nizami

We analyse the general structure of the three-point functions involving conserved bosonic and fermionic higher-spin currents in three-dimensional conformal field theory. Using the constraints of conformal symmetry and conservation…

High Energy Physics - Theory · Physics 2023-02-14 Evgeny I. Buchbinder , Benjamin J. Stone

Properties of the resolution operator ${\rm d}_{loc}^*$ in higher-spin equations, that leads to local current interactions at the cubic order and minimally nonlocal higher-order corrections, are formulated in terms of the condition on the…

High Energy Physics - Theory · Physics 2018-02-14 M. A. Vasiliev

We consider the Sp(2n) invariant formulation of higher spin fields on flat and curved backgrounds of constant curvature.In this formulation an infinite number of higher spin fields are packed into single scalar and spinor master fields…

High Energy Physics - Theory · Physics 2014-09-10 Ioannis Florakis , Dmitri Sorokin , Mirian Tsulaia

We study a duality, recently conjectured by Klebanov and Polyakov, between higher-spin theories on AdS_4 and O(N) vector models in 3-d. These theories are free in the UV and interacting in the IR. At the UV fixed point, the O(N) model has…

High Energy Physics - Theory · Physics 2010-04-05 L. Girardello , M. Porrati , A. Zaffaroni

We study conserved currents of any integer or half integer spin built from massless scalar and spinor fields in $AdS_3$. 2-forms dual to the conserved currents in $AdS_3$ are shown to be exact in the class of infinite expansions in higher…

High Energy Physics - Theory · Physics 2007-05-23 Sergey Prokushkin , Mikhail Vasiliev

The problem of finding consistent cubic AdS interactions of massless mixed-symmetry higher-spin fields is recast into a system of partial differential equations that can be solved for given spins of the particles entering the cubic…

High Energy Physics - Theory · Physics 2012-10-16 L. Lopez

Light-cone gauge formulation of fields in AdS space and conformal field theory in flat space adapted for the study of AdS/CFT correspondence is developed. Arbitrary spin mixed-symmetry fields in AdS space and arbitrary spin mixed-symmetry…

High Energy Physics - Theory · Physics 2016-08-12 R. R. Metsaev

We show how to decompose a Lagrangian for reducible massless bosonic Higher Spin modes into the ones describing irreducible (Fronsdal) Higher Spin modes on a D dimensional AdS space. Using this decomposition we construct a new Nonabelian…

High Energy Physics - Theory · Physics 2010-08-23 A. Fotopoulos , M. Tsulaia

The vertex function is analyzed using covariant spectral regularization without encountering any divergence, either UV or IR. The mathematics of covariant spectral regularization for covariant matrix valued measures with one Lorentz index…

General Physics · Physics 2022-07-12 John Mashford

We propose a new constructive approach to the solutions of the conservation condition for the three-point conformal correlation function in the Osborn-Petkou formulation generalized by the authors for higher spins. We propose for…

High Energy Physics - Theory · Physics 2025-09-11 Melik Karapetyan , Ruben Manvelyan

We examine three point functions with two scalar operators and a higher spin current in 2d W_N minimal model to the next non-trivial order in 1/N expansion. The minimal model was proposed to be dual to a 3d higher spin gauge theory, and 1/N…

High Energy Physics - Theory · Physics 2017-10-11 Yasuaki Hikida , Takahiro Uetoko

We study the cubic vertices for Maxwell-like higher-spins in flat and (A)dS background spaces of any dimension. Reducibility of their free spectra implies that a single cubic vertex involving any three fields subsumes a number of couplings…

High Energy Physics - Theory · Physics 2017-05-24 Dario Francia , Gabriele Lo Monaco , Karapet Mkrtchyan

Two-dimensional BF theory with infinitely many higher spin fields is proposed. It is interpreted as the AdS(2) higher spin gravity model describing a consistent interaction between local fields in AdS(2) space including gravitational field,…

High Energy Physics - Theory · Physics 2015-06-19 K. B. Alkalaev

Following arXiv:1308.2337, we carry out one loop tests of higher spin AdS$_{d+1}$/CFT$_d$ correspondences for $d\geq 2$. The Vasiliev theories in AdS$_{d+1}$, which contain each integer spin once, are related to the $U(N)$ singlet sector of…

High Energy Physics - Theory · Physics 2014-04-23 Simone Giombi , Igor R. Klebanov , Benjamin R. Safdi

We consider the frame-like formulation of reducible sets of totally symmetric bosonic and fermionic higher-spin fields in flat and AdS backgrounds of any dimension, that correspond to so-called higher-spin triplets resulting from the…

High Energy Physics - Theory · Physics 2008-12-18 Dmitri P. Sorokin , Mikhail A. Vasiliev

In this letter we provide a complete holographic reconstruction of the cubic couplings in the minimal bosonic higher-spin theory in AdS$_{d+1}$. For this purpose we also determine the OPE coefficients of all single-trace conserved currents…

High Energy Physics - Theory · Physics 2016-05-11 Charlotte Sleight , Massimo Taronna

We propose a simple unfolded description of free massive higher spin particles in anti-de-Sitter spacetime. While our unfolded equation of motion has the standard form of a covariant constancy condition, our formulation differs from the…

High Energy Physics - Theory · Physics 2018-08-29 Pan Kessel , Joris Raeymaekers

We study the interaction of massive spin-3/2 field with electromagnetic and gravitational fields in the four dimensional AdS space and construct the corresponding cubic vertices. Construction is based on generalization of Fradkin-Vasiliev…

High Energy Physics - Theory · Physics 2015-06-19 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

We consider R and NS spectral flow sectors of type IIB superstring theory on AdS(3)xS(3)xT(4) in the context of the AdS(3)/CFT(2) correspondence. We present a derivation of the vertex operators creating spectral flow images of chiral…

High Energy Physics - Theory · Physics 2015-05-13 Carlos A. Cardona , Carmen A. Núñez