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Snowmass White Paper: Higher Spin Gravity and Higher Spin Symmetry
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Higher Spin Gravity refers to extensions of gravity including at least one field of spin greater than two. These extensions are expected to provide manageable models of quantum gravity thanks to the infinite-dimensional (higher spin) gauge symmetry constraining them. One of the key aspects of Higher Spin Gravity/Symmetry is the range and diversity of topics it embraces: (a) higher spin fields play a role in quantum gravity, AdS/CFT, string theory and are expected to have important consequences in cosmology and black hole physics; (b) higher spin symmetry finds applications in Conformal Field Theories, condensed matter systems and dualities therein; (c) these models often rely on tools developed in the study of the mathematical foundations of QFT or in pure mathematics: from deformation quantization and non-commutative geometry to conformal geometry, graded geometry (including BV-BRST quantization), and geometry of PDEs. Recent exciting applications also involve (d) modelling the coalescence of black hole binaries as scattering of massive higher spin particles.
Forward citations
Cited by 6 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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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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General Lagrangian formulations for mixed-antisymmetric tensor fields on flat backgrounds
Lagrangian formulations for mixed-antisymmetric higher-spin fields with k-column Young tableaux are constructed via complete and incomplete BRST operators after converting constraints using Verma modules and Howe duality.
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On symmetry breaking in the self-dual higher-spin theory
In the self-dual higher-spin theory, a scalar vacuum that breaks AdS symmetry to 3D Poincaré makes all higher-spin gauge fields decouple except spin one, and makes higher-spin currents non-conserved except the spin-on...
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Higher-spins on Taub-NUT and higher-spin Taub-NUT
Higher-spin fields are solved exactly on the Taub-NUT instanton in the self-dual Yang-Mills truncation, and an order-by-order convergent higher-spin Taub-NUT solution is constructed in self-dual gravity, organized by ...
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Associativity of celestial OPE, higher spins and self-duality
Celestial OPE associativity, the Jacobi identity of a vertex-derived gauge algebra, vanishing four-point amplitudes, and the light-cone holomorphic constraint are shown to be the same consistency condition, solved for...
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