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Basic introduction to higher-spin theories
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Basic introduction to higher-spin theories
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This is a collection of my lecture notes on the higher-spin theory course given for students at the Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University. The goal of these lectures is to give an introduction to higher-spin theories accessible to master level students which would enable them to read the higher-spin literature. I start by introducing basic relevant notions of representation theory and the associated field-theoretic descriptions. Focusing on massless symmetric fields I review different approaches to interactions as well as the no-go results. I end the lectures by reviewing some of the currently available positive results on interactions of massless higher-spin fields, namely, holographic, Chern-Simons and chiral higher-spin theories.
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Cited by 13 Pith papers
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Light-Front approach to $4d$ massless Higher-Spin interactions
Solving Poincaré-algebra closure at quartic order yields infinitely many local 4d massless higher-spin theories (finite or infinite spectra), classifies chiral one-/two-derivative models, and determines all local unit...
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Light-Front approach to $4d$ massless Higher-Spin interactions
Quartic Poincaré-closure in the light-front gauge classifies all one- and two-derivative chiral higher-spin theories in 4d and yields new finite-spectrum local theories and quasi-chiral families.
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Structure of $\mathcal{N} = 2$ superfield higher-spin abelian cubic interactions
The structure of N=2 abelian cubic higher-spin vertices is fully determined by three analytic supercurrents, and odd-spin (s,1,1) gauge transformations reduce to supersymmetric zilch symmetries.
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Massless spinning fields on the Light-Front: quartic vertices and amplitudes
A light-front quartic-constraint analysis classifies local massless higher-spin vertices and amplitudes, yielding no-go results for unitary theories and new quasi-chiral higher-spin sectors.
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Metric-like Cubic Vertices for Massless Bosonic Higher-Spin Fields in AdS$_3$
Derives metric-like cubic vertices for massless bosonic higher-spin fields in AdS3 from flat-space ones via gauge invariance.
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Wigner continuous-spin equations in $\mathbf{AdS_D}$: bosonic and fermionic cases
Construction of first-class constraint systems for bosonic and fermionic continuous-spin fields in AdS_D that realize the so(2,D-1) algebra via Lie-Lorentz derivative and match Metsaev's Casimir classification.
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$N$-body modelling of the ED-2 stream progenitor shows Gaia BH3's formation involved dynamical interactions
N-body modeling indicates Gaia BH3 formed as an exchange binary via dynamical interactions in the ED-2 progenitor cluster.
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Amplitudes in self-dual (higher-spin) theories
All self-dual theories with or without higher-spin fields possess nontrivial tree-level amplitudes in Kleinian or complex Minkowski kinematics, completing the celestial analogue of the higher-spin duality.
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Self-dual gravity from higher-spin theory
Self-dual gravity with cosmological constant emerges uniquely as the rigid lower-spin sector of four-dimensional higher-spin interactions when only self-dual vertices are kept.
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Three-dimensional non-relativistic chiral massive higher-spin gravity
A non-relativistic massive higher-spin gravity in deformed AdS₃ is constructed by Lifshitz-deforming and null-reducing chiral massless higher-spin gravity; under an assumed mass-spin relation its cubic couplings vanis...
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$N$-body modelling of the ED-2 stream progenitor shows Gaia BH3's formation involved dynamical interactions
N-body modeling of the ED-2 progenitor shows Gaia BH3 formed as an exchange binary via multiple dynamical interactions in a dense cluster, not in isolation.
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Topological Fields in $4d$ Higher Spin Theory
Topological fields in 4d higher spin theory have a finite number of degrees of freedom and admit a gauge-invariant cubic action for interactions with physical higher spin fields.
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Structure of $\mathcal{N} = 2$ superfield higher-spin abelian cubic interactions
N=2 abelian higher-spin cubic (s1,s2,s2) vertices have analytic structure fully fixed by the supercurrents J++_{\alpha(s-1)\dot{\alpha}(s-1)}, J^+_{\alpha(s-1)\dot{\alpha}(s-2)} and \bar J^+_{\alpha(s-2)\dot{\alpha}(s...
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