4.4 Review

Basic Introduction to Higher-Spin Theories

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Carrollian and Galilean conformal higher-spin algebras in any dimensions

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Summary: The study introduces higher-spin algebras containing a Poincare subalgebra and explores their potential as candidate rigid symmetries for higher-spin gauge theories or Carrollian conformal higher-spin symmetries. It also discusses the definition of higher-spin algebras containing a Galilean conformal subalgebra, to be interpreted as non-relativistic limits of the conformal symmetries.

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Summary: This paper compares light-front quantization and instant-time quantization at the level of operators and Feynman diagram matrix elements, demonstrating that their relationships at unequal times can be transformed into each other, while appearing different at equal times. The study shows that for fermions, there are subtleties associated with contributions at the tip of the light cone. Additionally, the transformation from instant-time to light-front coordinates and fields is unitary and spacetime-dependent, leading to the equivalence of instant-time quantization and light-front quantization due to general coordinate invariance.

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Actions for self-dual Higher Spin Gravities

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Summary: The study constructs covariant actions for contractions of Chiral Higher Spin Gravity, representing extensions of self-dual Yang-Mills and self-dual Gravity theories, and simplifies the structure of interactions. They successfully find a covariant form of the minimal gravitational interaction for higher spin fields, resolving some of the puzzles in the literature.

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Infinite (continuous) spin fields in the frame-like formalism

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Quantum Chiral Higher Spin Gravity

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Twisted Flato-Fronsdal theorem for higher-spin algebras

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The conformal characters

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Light-cone gauge cubic interaction vertices for massless fields in AdS(4)

R. R. Metsaev

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Homotopy properties and lower-order vertices in higher-spin equations

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Higher-Spin Gauge Theories and Bulk Locality

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A Note on (Non)-Locality in Holographic Higher Spin Theories

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Conformal higher spin theory and twistor space actions

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Covariant 4-dimensional fuzzy spheres, matrix models and higher spin

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Light-front higher-spin theories in flat space

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Interactions in higher-spin gravity: a holographic perspective

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Test of the local form of higher-spin equations via AdS/CFT

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Mixed-symmetry fields in de Sitter space: a group theoretical glance

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Cubic interactions of Maxwell-like higher spins

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Higher-spin algebras, holoraphy and flat space

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Conformal higher spin scattering amplitudes from twistor space

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On four-point interactions in massless higher spin theory in flat space

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On the non-local obstruction to interacting higher spins in fat space

Massimo Taronna

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Chiral higher spin theories and self-duality

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Higher spin interactions in four-dimensions: Vasiliev versus Fronsdal

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Higher Spin Interactions from Conformal Field Theory: The Complete Cubic Couplings

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Spinor-helicity three-point amplitudes from local cubic interactions

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Off-shell spinor-helicity amplitudes from light-cone deformation procedure

Dmitry Ponomarev

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Scalar scattering via conformal higher spin exchange

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On triviality of S-matrix in conformal higher spin theory

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On quantum corrections in higher-spin theory in flat space

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One-loop test of free SU(N) adjoint model holography

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Causality constraints in conformal field theory

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Continuous-spin particle field theory with helicity correspondence

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On locality, holography and unfolding

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Deformed twistors and higher spin conformal (super-)algebras in four dimensions

Karan Govil et al.

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Quartic AdS interactions in higher-spin gravity from Conformal Field Theory

X. Bekaert et al.

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Towards holographic higher-spin interactions: four-point functions and higher-spin exchange

X. Bekaert et al.

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Classical and quantum stability of higher-derivative dynamics

D. S. Kaparulin et al.

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Massive spin-2 in the Fradkin-Vasiliev formalism. I. Partially massless case

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On the gauge symmetries of Maxwell-like higher-spin Lagrangians

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A Riccati type PDE for light-front higher helicity vertices

Anders K. H. Bengtsson

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Notes on higher-spin algebras: minimal representations and structure constants

Euihun Joung et al.

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Cubic-interaction-induced deformations of higher-spin symmetries

Euihun Joung et al.

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Flato-Fronsdal theorem for higher-order singletons

Thomas Basile et al.

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Constraining conformal field theories with a slightly broken higher spin symmetry

Juan Maldacena et al.

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ON THE UNIQUENESS OF HIGHER-SPIN SYMMETRIES IN ADS AND CFT

N. Boulanger et al.

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Towards metric-like higher spin gauge theories in three dimensions

A. Campoleoni et al.

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Minimal model holography

Matthias R. Gaberdiel et al.

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The higher spin/vector model duality

Simone Giombi et al.

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Constraining conformal field theories with a higher spin symmetry

Juan Maldacena et al.

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Maxwell-like Lagrangians for higher spins

Andrea Campoleoni et al.

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Non-Abelian cubic vertices for higher-spin fields in AdSd

Nicolas Boulanger et al.

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Cubic interaction vertices for fermionic and bosonic arbitrary spin fields

R. R. Metsaev

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Cubic vertices for symmetric higher-spin gauge fields in (A)dSd

M. A. Vasiliev

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Cubic interactions of massless higher spins in (A)dS: Metric-like approach

Euihun Joung et al.

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Exploring the S matrix of massless particles

Paolo Benincasa et al.

PHYSICAL REVIEW D (2012)

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How higher-spin gravity surpasses the spin-two barrier

Xavier Bekaert et al.

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Spinor helicity structures in higher spin theories

Sudarshan Ananth

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Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds

Nicolas Boulanger et al.

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String lessons for higher-spin interactions

A. Sagnotti et al.

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AdS4/CFT3 construction from collective fields

Robert de Mello Koch et al.

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An AdS3 dual for minimal model CFTs

Matthias R. Gaberdiel et al.

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FV-type action for AdS5 mixed-symmetry fields

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Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime

Nicolas Boulanger et al.

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Higher spins in AdS and twistorial holography

Simone Giombi et al.

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Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex

Xavier Bekaert et al.

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General trilinear interaction for arbitrary even higher spin gauge fields

Ruben Manvelyan et al.

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Frame-like action and unfolded formulation for massive higher-spin fields

D. S. Ponomarev et al.

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Nonlinear W∞ as asymptotic symmetry of three-dimensional higher spin AdS gravity

Marc Henneaux et al.

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On the tensionless limit of string theory, off-shell higher spin interaction vertices and BCFW recursion relations

Angelos Fotopoulos et al.

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Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields

A. Campoleoni et al.

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Higher spin gauge theory and holography: the three-point functions

Simone Giombi et al.

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Gauge fields in (A)dSd and connections of its symmetry algebra

E. D. Skvortsov

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Frame-like actions for massless mixed-symmetry fields in Minkowski space

E. D. Skvortsov

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Towards frame-like gauge invariant formulation for massive mixed symmetry bosonic fields

Yu. M. Zinoviev

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Frame-like gauge invariant formulation for massive high spin particles

Yu. M. Zinoviev

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On higher spin interactions with matter

Xavier Bekaert et al.

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Unfolding mixed-symmetry field in AdS and the BMV conjecture: I. General formalism

Nicolas Boulanger et al.

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Transverse invariant higher-spin fields

E. D. Skvortsov et al.

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A fiber approach to harmonic analysis of unfolded higher-spin field equations

C. Iazeolla et al.

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BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space

I. L. Buchbinder et al.

NUCLEAR PHYSICS B (2007)

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Current exchanges and unconstrained higher spins

D. Francia et al.

NUCLEAR PHYSICS B (2007)

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Cubic interaction vertices for massive and massless higher spin fields

R. R. Metsaev

NUCLEAR PHYSICS B (2006)

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Geometric formulation for partially massless fields

E. D. Skvortsov et al.

NUCLEAR PHYSICS B (2006)

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Constructing the cubic interaction vertex of higher spin gauge fields

I. L. Buchbinder et al.

PHYSICAL REVIEW D (2006)

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Parity-violating vertices for spin-3 gauge fields

N Boulanger et al.

PHYSICAL REVIEW D (2006)

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Higher symmetries of the Laplacian

M Eastwood

ANNALS OF MATHEMATICS (2005)

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No self-interaction for two-column massless fields

X Bekaert et al.

JOURNAL OF MATHEMATICAL PHYSICS (2005)

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On higher spins and the tensionless limit of string theory

A Sagnotti et al.

NUCLEAR PHYSICS B (2004)

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On the frame-like formulation of mixed-symmetry massless fields in (A)dSd

KB Alkalaev et al.

NUCLEAR PHYSICS B (2004)

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Nonlinear equations for symmetric massless higher spin fields in (A)dSd

MA Vasiliev

PHYSICS LETTERS B (2003)

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Conformal higher spin theory

AY Segal

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On the geometry of higher-spin gauge fields

D Francia et al.

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Consistent deformations of dual formulations of linearized gravity: A no-go result

X Bekaert et al.

PHYSICAL REVIEW D (2003)

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AdS dual of the critical O(N) vector model

IR Klebanov et al.

PHYSICS LETTERS B (2002)

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Massless higher spins and holography

E Sezgin et al.

NUCLEAR PHYSICS B (2002)

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Free geometric equations for higher spins

D Francia et al.

PHYSICS LETTERS B (2002)

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Lagrangian formulation of the massless higher integer spin fields in the AdS background

IL Buchbinder et al.

PHYSICS LETTERS B (2001)

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Partial masslessness of higher spins in (A)dS

S Deser et al.

NUCLEAR PHYSICS B (2001)

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Inconsistency of interacting, multi-graviton theories

N Boulanger et al.

NUCLEAR PHYSICS B (2001)

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How massless are massless fields in AdSd

L Brink et al.

NUCLEAR PHYSICS B (2000)

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Higher-spin current multiplets in operator-product expansions

D Anselmi

CLASSICAL AND QUANTUM GRAVITY (2000)

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Large N field theories, string theory and gravity

O Aharony et al.

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