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Working in the context of the proposed duality between 3D higher spin gravity and 2D W_N minimal model CFTs, we compute a class of four-point functions in the bulk and on the boundary, and demonstrate precise agreement between them. This is…

High Energy Physics - Theory · Physics 2015-06-15 Eliot Hijano , Per Kraus , Eric Perlmutter

We study the conjectured duality between the $\mathcal{N}=6$ Vasiliev higher spin theory on $AdS_4$ and 3d $\mathcal{N}=6$ superconformal Chern-Simons matter theory known as the ABJ theory. We discuss how the parameters in the ABJ theory…

High Energy Physics - Theory · Physics 2015-09-30 Masazumi Honda

We apply the AdS/CFT correspondence to derive expressions for the scattering amplitudes at high energy for gauge theories at strong coupling. A method is proposed based on the computation of correlators of Wilson loop operators by their…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Peschanski

A quantum field theory on Anti-de-Sitter space can be constructed from a conformal field theory on its boundary Minkowski space by an inversion of the holographic mapping. To do this the conformal field theory must satisfy certain…

High Energy Physics - Theory · Physics 2009-11-10 W. Ruehl

We present a simple way of constructing conformal couplings of a scalar field to higher order Euler densities. This is done by constructing a four-rank tensor involving the curvature and derivatives of the field, which transforms…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Julio Oliva , Sourya Ray

We aim at formulating a higher-spin gravity theory around AdS$_2$ relevant for holography. As a first step, we investigate its kinematics by identifying the low-dimensional cousins of the standard higher-dimensional structures in…

High Energy Physics - Theory · Physics 2020-06-08 Konstantin Alkalaev , Xavier Bekaert

We review various off-shell formulations for interacting higher-spin systems in dimensions 3 and 4. Associated with higher-spin systems in spacetime dimension 4 is a Chern-Simons action for a superconnection taking its values in a direct…

We study at quantum level correlators of supersymmetric Wilson loops with contours lying on Hopf fibers of $S^3$. In $\mathcal{N}=4$ SYM theory the strong coupling analysis can be performed using the AdS/CFT correspondence and a connected…

High Energy Physics - Theory · Physics 2015-03-20 Luca Griguolo , Stefano Mori , Fabrizio Nieri , Domenico Seminara

This thesis investigates the interactions of partially massless (PM) fields in 4-dimensional (anti)de Sitter spaces, along with conformal higher spin fields and their coupling to matter in arbitrary dimensions. The first part of the thesis…

High Energy Physics - Theory · Physics 2026-02-03 Shailesh Dhasmana

We describe a method for calculating dynamical spin-spin correlation functions in the finite isotropic and anisotropic antiferromagnetic Heisenberg models. Our method is able to produce results with high accuracy over the full parameter…

Strongly Correlated Electrons · Physics 2009-11-11 Rob Hagemans , Jean-Sébastien Caux , Jean Michel Maillet

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

The concept of conformal field theory provides a general classification of statistical systems on two-dimensional geometries at the point of a continuous phase transition. Considering the finite-size scaling of certain special observables,…

Statistical Mechanics · Physics 2017-09-27 M. Weigel , W. Janke

Two-dimensional quantum fields in electric and gravitational backgrounds can be described by conformal field theories, and hence all the physical (covariant) quantities can be written in terms of the corresponding holomorphic quantities. In…

High Energy Physics - Theory · Physics 2008-11-26 Satoshi Iso , Takeshi Morita , Hiroshi Umetsu

We study the 3D Edwards-Anderson spin glasses, by analyzing spin-spin correlation functions in thermalized spin configurations at low T on large lattices. We consider individual disorder samples and analyze connected clusters of very…

Disordered Systems and Neural Networks · Physics 2015-03-20 A. Billoire , A. Maiorano , E. Marinari

We compute the complete contribution to the stress-energy tensor in the minimal bosonic higher spin theory in D=4 that is quadratic in the scalar field. We find arbitrarily high derivative terms, and that the total sign of the stress-energy…

High Energy Physics - Theory · Physics 2009-11-10 Fredric Kristiansson , Peter Rajan

We present the holographic predictions for cosmological 3-point correlators, involving both scalar and tensor modes, for a universe which started in a non-geometric holographic phase. Holographic formulae relate the cosmological 3-point…

High Energy Physics - Theory · Physics 2012-04-11 Adam Bzowski , Paul McFadden , Kostas Skenderis

We analyze a bulk effective field theory in AdS containing a U(1)-charged massive spin-2 field coupled to a gauge field, by performing the required holographic renormalization, and computing the one and two-point functions. We then compute…

High Energy Physics - Theory · Physics 2026-02-04 Vijay Nenmeli , Arvind Shekar , Mritunjay Verma

Two-dimensional conformal field theories with extended $\cal{W}$-symmetry algebras have dual descriptions in terms of weakly coupled higher spin gravity in AdS$_3\,$ at large central charge. Observables that can be computed and compared in…

High Energy Physics - Theory · Physics 2018-10-09 Jan de Boer , Alejandra Castro , Eliot Hijano , Juan I. Jottar , Per Kraus

We consider conformal field theories with slightly broken higher spin symmetry in arbitrary spacetime dimensions. We analyze the crossing equation in the double light-cone limit and solve for the anomalous dimensions of higher spin currents…

High Energy Physics - Theory · Physics 2016-07-20 Luis F. Alday , Alexander Zhiboedov

We consider the coupling of a symmetric spin-3 gauge field to three-dimensional gravity in a second order metric-like formulation. The action that corresponds to an SL(3,R) x SL(3,R) Chern-Simons theory in the frame-like formulation is…

High Energy Physics - Theory · Physics 2013-09-13 Andrea Campoleoni , Stefan Fredenhagen , Stefan Pfenninger , Stefan Theisen