Snowmass White Paper: Higher Spin Gravity and Higher Spin Symmetry

Xavier Bekaert (1) , Nicolas Boulanger , Andrea Campoleoni , Marco Chiodaroli , Dario Francia , Maxim Grigoriev , Ergin Sezgin , Evgeny Skvortsov

1 IDP - Institut Denis Poisson

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.

Mots clés: spin: high; field theory: conformal; spin: symmetry; symmetry: gauge; geometry: noncommutative; geometry: conformal; quantization: deformation; black hole: binary: coalescence; particle: spin; quantum gravity: model; gravitation; string model; graded; duality; condensed matter; AdS/CFT correspondence; scattering; cosmological model

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Xavier Bekaert, Nicolas Boulanger, Andrea Campoleoni, Marco Chiodaroli, Dario Francia, et al.. Snowmass White Paper: Higher Spin Gravity and Higher Spin Symmetry. Snowmass 2021, Jul 2022, Seattle, United States. ⟨hal-03672641⟩