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We show that the anisotropic Heisenberg-Ising chains with higher spin allow, for special values of the anisotropy, integrable deformations intimately related to the theory of quantum groups at roots of unity. For the spin one case we…

High Energy Physics - Theory · Physics 2009-10-22 C. Gomez , G. Sierra

Gravitational interactions of higher spin fields are generically plagued by inconsistencies. We present a simple framework that couples higher spins to a broad class of gravitational backgrounds (including Ricci flat and Einstein)…

High Energy Physics - Theory · Physics 2008-11-26 A. R. Gover , K. Hallowell , A. Waldron

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 apply an unconstrained formulation of bosonic higher spin fields to study interactions of these fields with a bosonic field using new method for the deformation procedure. It is proved that local vertices of any order containing one…

High Energy Physics - Theory · Physics 2023-01-18 P. M. Lavrov

This Thesis reviews some recent developments about higher-spin interactions in flat and constant curvature backgrounds. Particular attention is given to the ambient-space formulation of the problem, both at the cubic and at the quartic…

High Energy Physics - Theory · Physics 2012-11-08 Massimo Taronna

We consider higher-spin gravity in (A)dS_4, defined as the holographic dual of a free O(N) or Sp(N) vector model. At the quartic level, this theory has been judged non-local at distances greater than the (A)dS radius, due to a mismatch of…

High Energy Physics - Theory · Physics 2023-08-09 Yasha Neiman

A new class of shifted homotopy operators in higher-spin gauge theory is introduced. A sufficient condition for locality of dynamical equations is formulated and Pfaffian Locality Theorem identifying a subclass of shifted homotopies that…

High Energy Physics - Theory · Physics 2018-10-16 O. A. Gelfond , M. A. Vasiliev

{A} Higher Spin Gravity in five dimensions is constructed. It was shown recently that constructing formally consistent classical equations of motion of higher spin gravities is equivalent to finding a certain deformation of a given higher…

High Energy Physics - Theory · Physics 2020-01-28 Alexey Sharapov , Evgeny Skvortsov , Tung Tran

We investigate the special case of quintic interactions for massless higher spin gauge fields using the string-theoretic vertex operator construction for higher spin gauge fields in Vasiliev's frame-like formalism. We compute explicitly the…

High Energy Physics - Theory · Physics 2016-03-23 Dimitri Polyakov

We present a complete solution to the problem of Formal Higher Spin Gravities --- formally consistent field equations that gauge a given higher spin algebra and describe free higher spin fields upon linearization. The problem is shown to be…

High Energy Physics - Theory · Physics 2019-05-01 A. A. Sharapov , E. D. Skvortsov

We discuss recent endeavours in connecting twistor theory to higher-spin theories and the IKKT- matrix model. Starting with a brief review on higher-spin algebra hs in four-dimensional target space, we elucidate how higher-spin symmetry can…

High Energy Physics - Theory · Physics 2022-12-07 Tung Tran

Within the light-front approach in flat space, we study the closure of the Poincare algebra at the quartic order, specifically the nonholomorphic constraint involving both MHV and anti-MHV vertices. We first recover some well-established…

High Energy Physics - Theory · Physics 2026-02-16 Mattia Serrani

The first-order correction to the one-form sector of equations of the $3d$ higher-spin theory is derived from the generating nonlinear HS system by virtue of the shifted homotopy approach. The family of solutions to the generating system…

High Energy Physics - Theory · Physics 2023-03-20 A. V. Korybut , A. A. Sevostyanova , M. A. Vasiliev , V. A. Vereitin

We present and discuss near horizon boundary conditions for flat space higher-spin gravity in three dimensions. As in related work our boundary conditions ensure regularity of the solutions independently of the charges. The asymptotic…

High Energy Physics - Theory · Physics 2019-01-29 Martin Ammon , Daniel Grumiller , Stefan Prohazka , Max Riegler , Raphaela Wutte

The necessary and sufficient conditions to construct consistent Lagrangian formulation for irreducible interacting massless higher-spin (HS) fields on $d$-dimensional Minkowski space within approach with incomplete BRST operator and…

High Energy Physics - Theory · Physics 2025-11-17 A. Reshetnyak

This article is expository in nature, outlining some of the many still incompletely understood features of higher spin field theory. We are mainly considering higher spin gauge fields in their own right as free-standing theoretical…

High Energy Physics - Theory · Physics 2008-12-19 Anders K. H. Bengtsson

According to common lore, massive elementary higher spin particles lead to inconsistencies when coupled to gravity. However, this scenario was not completely ruled out by previous arguments. In this paper, we show that in a theory where the…

High Energy Physics - Theory · Physics 2019-05-01 Nima Afkhami-Jeddi , Sandipan Kundu , Amirhossein Tajdini

A group of non-uniform quantum lattice Hamiltonians in one dimension is introduced, which is related to the hyperbolic $1 + 1$-dimensional space. The Hamiltonians contain only nearest neighbor interactions whose strength is proportional to…

Quantum Physics · Physics 2009-02-12 Hiroshi Ueda , Tomotoshi Nishino

In this talk, we present some direct evidences of the Higher Spin/Vector Model correspondence. There are two particular examples we would like to address on. The first example concerns a constructive approach of four dimensional higher spin…

High Energy Physics - Theory · Physics 2013-04-16 Kewang Jin

We present the first analysis of top spin polarizations, $t \bar t$ spin correlations, and $t \bar t$ spin entanglement at the LHC in the context of the Standard Model Effective Field Theory, that goes beyond Leading Order QCD accuracy. The…

High Energy Physics - Phenomenology · Physics 2023-02-01 Claudio Severi , Eleni Vryonidou