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Multiparticle extension of a higher-spin algebra $l$ is introduced as the Lie superalgebra associated with the universal enveloping algebra $U(l)$. While conventional higher-spin symmetry does not mix $n$-particle states with different $n$,…

High Energy Physics - Theory · Physics 2015-06-12 M. A. Vasiliev

We study higher dimensional field theories with extra dimensions from a 4d spectrum point of view. It is shown that 4d mass spectra of spinor, gauge and gravity field theories are governed by quantum-mechanical supersymmetry. The 4d…

High Energy Physics - Theory · Physics 2012-01-13 Makoto Sakamoto

Theories of anti-commuting scalar fields are non-unitary, but they are of interest both in statistical mechanics and in studies of the higher spin de Sitter/Conformal Field Theory correspondence. We consider an $Sp(N)$ invariant theory of…

High Energy Physics - Theory · Physics 2015-06-18 Lin Fei , Simone Giombi , Igor R. Klebanov , Grigory Tarnopolsky

It is shown that the coefficient of the cubic interaction vertex, in higher spin Lagrangians, has a very simple form when written in terms of spinor helicity products. The result for a higher-spin field, of spin $\lambda$, is equal to the…

High Energy Physics - Theory · Physics 2020-02-26 Sudarshan Ananth

We propose a complete microscopic definition of the Hilbert space of minimal higher spin de Sitter quantum gravity and its Hartle-Hawking vacuum state. The fundamental degrees of freedom are $2N$ bosonic fields living on the future…

High Energy Physics - Theory · Physics 2017-11-29 Dionysios Anninos , Frederik Denef , Ruben Monten , Zimo Sun

Spin states of maximal projection along some direction in space are called (spin) coherent, and are, in many aspects, the "most classical" available. For any spin $s$, the spin coherent states form a 2-sphere in the projective Hilbert space…

Quantum Physics · Physics 2018-04-18 Chryssomalis Chryssomalakos , Edgar Guzman , Eduardo Serrano-Ensástiga

We consider a system of nonlinear spinor and scalar fields with minimal coupling in general relativity. The nonlinearity in the spinor field Lagrangian is given by an arbitrary function of the invariants generated from the bilinear spinor…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bijan Saha , G. N. Shikin

In the framework of noncommutative geometry we describe spinor fields with nonvanishing winding number on a truncated (fuzzy) sphere. The corresponding field theory actions conserve all basic symmetries of the standard commutative version…

High Energy Physics - Theory · Physics 2009-10-28 H. Grosse , C. Klimcik , P. Presnajder

The $2n$ dimensional manifold with two mutually commutative operators of differentiation is introduced. Nontrivial multidimensional integrable systems connected with arbitrary graded (semisimple) algebras are constructed. The general…

Mathematical Physics · Physics 2007-05-23 A. N. Leznov

Unfolded equations of motion for symmetric massive bosonic fields of any spin in Minkowski and (A)dS spaces are presented. Manifestly gauge invariant action for a spin $s \ge 2$ massive field in any dimension is constructed in terms of…

High Energy Physics - Theory · Physics 2011-09-07 D. S. Ponomarev , M. A. Vasiliev

One of us got spins and charges of not only scalars and vectors but also of spinors out of fields, which are antisymmetric tensor fields. Kahler got spins of spinors out of differential forms, which again are antisymmetric tensor fields.…

High Energy Physics - Theory · Physics 2007-05-23 Norma Mankoc Borstnik , Holger Bech Nielsen

Higher spin fields in four dimensions, and more generally conformal fields in arbitrary dimensions, can be described by spinning particle models with a gauged SO(N) extended supergravity on the worldline. We consider here the one-loop…

High Energy Physics - Theory · Physics 2010-10-27 Fiorenzo Bastianelli , Olindo Corradini , Emanuele Latini

This thesis deals with the phase space realization of asymptotic higher spin symmetries, in 4d asymptotically flat spacetimes. In the gravitational case for instance, these symmetries generalize the BMS algebra to include an infinite tower…

High Energy Physics - Theory · Physics 2026-03-30 Nicolas Cresto

It is shown that a symmetric massless bosonic higher-spin field can be described by a traceless tensor field with reduced (transverse) gauge invariance. The Hamiltonian analysis of the transverse gauge invariant higher-spin models is used…

High Energy Physics - Theory · Physics 2008-11-26 E. D. Skvortsov , M. A. Vasiliev

We focus on the geometrical reformulation of free higher spin supermultiplets in $4\rm{D},~\mathcal{N}=1$ flat superspace. We find that there is a de Wit-Freedman like hierarchy of superconnections with simple gauge transformations. The…

High Energy Physics - Theory · Physics 2021-01-04 I. L. Buchbinder , S. James Gates , K. Koutrolikos

We review recent progress in the construction of black holes in three dimensional higher spin gravity theories. Starting from spin-3 gravity and working our way toward the theory of an infinite tower of higher spins coupled to matter, we…

High Energy Physics - Theory · Physics 2015-06-11 Martin Ammon , Michael Gutperle , Per Kraus , Eric Perlmutter

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

A new model of relativistic massive particle with arbitrary spin (($m,s$)-particle) is suggested. Configuration space of the model is a product of Minkowski space and two-dimensional sphere, ${\cal M}^6 = {\Bbb R}^{3,1} \times S^2$. The…

High Energy Physics - Theory · Physics 2017-11-30 S. M. Kuzenko , S. L. Lyakhovich , A. Yu. Segal

General topologically invariant microscopical expressions for quantum numbers of particle-like solitons ("skyrmions") are derived for a class of (2+1)D models. Skyrmions are either half-integer spin fermions with odd electric charge or…

Strongly Correlated Electrons · Physics 2011-04-21 Victor M. Yakovenko

The recently proposed differential homotopy approach to the analysis of nonlinear higher spin theory is developed. The Ansatz is extended to the form applicable in the second order of the perturbation theory and general star-multiplication…

High Energy Physics - Theory · Physics 2026-01-27 P. T. Kirakosiants , D. A. Valerev , M. A. Vasiliev