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We formulate the theory of field interactions with higher order anisotropy. The concepts of higher order anisotropic space and locally anisotropic space (in brief, ha-space and la-space) are introduced as general ones for various types of…

High Energy Physics - Theory · Physics 2010-02-03 Sergiu I. Vacaru

We apply a recently presented BRST procedure to construct the Largangian cubic vertex of higher-spin gauge field triplets interacting with massive free scalars. In flat space, the spin-s triplet propagates the series of irreducible spin-s,…

High Energy Physics - Theory · Physics 2009-06-11 A. Fotopoulos , N. Irges , A. C. Petkou , M. Tsulaia

We propose a BRST extension of the higher-spin gauge theory in $AdS_4$ with the BRST operator associated with the local Lorentz symmetry. Our construction supports manifest local Lorentz covariance and is applicable both to any homotopy…

High Energy Physics - Theory · Physics 2025-11-25 O. A. Gelfond , M. A. Vasiliev

The original cubic interaction terms for higher spin gauge fields in four dimensions and their reformulation using Fock space vertex operators is reviewed. As a new result, the complete list of all cubic vertex functions in D=4 is derived.…

High Energy Physics - Theory · Physics 2016-09-23 Anders K. H. Bengtsson

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

The local form of higher-spin equations found recently to the second order [1] is shown to properly reproduce the anticipated $AdS/CFT$ correlators for appropriate boundary conditions. It is argued that consistent $AdS/CFT$ holography for…

High Energy Physics - Theory · Physics 2017-12-06 V. E. Didenko , M. A. Vasiliev

We study Vasiliev's higher-spin gravity in 3+1d. We formulate the theory in the so-called compensator formalism, where the local isometry group SO(4,1) is reduced to the Lorentz group SO(3,1) by a choice of spacelike direction in an…

High Energy Physics - Theory · Physics 2017-05-30 Yasha Neiman

In this paper, we develop a perturbation formulation to calculate the single interval higher spin R$\acute{e}$nyi and entanglement entropy for two dimensional conformal field theory with $\mathcal{W}_{\infty}(\lambda)$ symmetry. The system…

High Energy Physics - Theory · Physics 2015-06-22 Jiang Long

We present a no-go result on consistent Noether interactions among higher-spin gauge fields on anti-de Sitter space-times. We show that there is a non-local obstruction at the classical level to consistent interacting field theory…

High Energy Physics - Theory · Physics 2018-10-31 Charlotte Sleight , Massimo Taronna

We consider lambda and anisotropic deformations of the SU(2) principal chiral model and show how they can be quantized in the Hamiltonian formalism on a lattice as a suitable spin chain. The spin chain is related to the higher spin XXZ…

High Energy Physics - Theory · Physics 2018-09-26 Calan Appadu , Timothy J. Hollowood , Dafydd Price , Daniel C. Thompson

We present a systematic derivation of effective lattice spin Hamiltonians derived from a rotationally invariant multi-orbital Hubbard model including a term ensuring Hund's rule coupling. The Hamiltonians are derived down-folding the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Markus Hoffmann , Stefan Blügel

We show that the instabilities of higher derivative gravity models with quadratic curvature invariant $\alpha R^2+\beta R_{\mu\nu}R^{\mu\nu}$ can be removed by judicious addition of constraints at the quadratic level of metric fluctuations…

High Energy Physics - Theory · Physics 2015-06-17 Tai-jun Chen , Eugene A. Lim

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

Large spin-orbital proximity effects have been predicted in graphene interfaced with a transition metal dichalcogenide layer. Whereas clear evidence for an enhanced spin-orbit coupling has been found at large carrier densities, the type of…

We consider the holographic duality between 4d type-A higher-spin gravity and a 3d free vector model. It is known that the Feynman diagrams for boundary correlators can be encapsulated in an HS-algebraic twistorial expression. This…

High Energy Physics - Theory · Physics 2020-11-09 Adrian David , Yasha Neiman

Recently, a unique class of local Higher Spin Gravities with propagating massless fields in $4d$ - Chiral Higher Spin Gravity - was given a covariant formulation both in flat and $(A)dS_4$ spacetimes at the level of equations of motion. We…

High Energy Physics - Theory · Physics 2023-04-05 Alexey Sharapov , Evgeny Skvortsov , Arseny Sukhanov , Richard Van Dongen

The extension of nonlinear higher-spin equations in d=4 proposed in [arXiv:1504.07289] for the construction of invariant functional is shown to respect local Lorentz symmetry. The equations are rewritten in a manifestly Lorentz covariant…

High Energy Physics - Theory · Physics 2018-07-31 V. E. Didenko , N. G. Misuna , M. A. Vasiliev

We consider top-antitop quark $(t{\bar t})$ production at the Large Hadron Collider (LHC) with subsequent decays into dileptonic final states. We use and investigate a set of leptonic angular correlations and distributions with which all…

High Energy Physics - Phenomenology · Physics 2024-05-30 Werner Bernreuther , Long Chen , Zong-Guo Si

We show that the recently proposed equations for holomorphic sector of higher-spin theory in $d=4$, also known as chiral, can be naturally extended to describe interacting symmetric higher-spin gauge fields in any dimension. This is…

High Energy Physics - Theory · Physics 2024-04-05 V. E. Didenko , A. V. Korybut

We outline a program for interpreting the higher-spin dS/CFT model in terms of physics in the causal patch of a dS observer. The proposal is formulated in "elliptic" de Sitter space dS_4/Z_2, obtained by identifying antipodal points in…

High Energy Physics - Theory · Physics 2019-12-03 Illan F. Halpern , Yasha Neiman