Bosonic higher spin gravity in any dimension with dynamical two-form

DOI10.1007/JHEP03(2019)001zbMath1414.83049arXiv1712.03135OpenAlexW2772207973WikidataQ128277372 ScholiaQ128277372MaRDI QIDQ2421039

Roberto Bonezzi, Cesar Arias, Per Sundell

Publication date: 8 June 2019

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03135

zbMATH Keywords

non-commutative geometrystring field theoryhigher spin gravity

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Kaluza-Klein and other higher-dimensional theories (83E15) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Methods of noncommutative geometry in general relativity (83C65) Eta-invariants, Chern-Simons invariants (58J28)

Related Items

2D Poisson sigma models with gauged vectorial supersymmetry ⋮ Characteristic cohomology and observables in higher spin gravity ⋮ Towards massless sector of tensionless strings on \(AdS_5\) ⋮ Higher spin gravities and presymplectic AKSZ models ⋮ Fronsdal fields from gauge functions in Vasiliev's higher spin gravity ⋮ Leibniz gauge theories and infinity structures

Cites Work

• Unnamed Item
• Unnamed Item
• Consistent equations for interacting gauge fields of all spins in \(3+1\) dimensions
• Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory
• Observables of non-commutative gauge theories
• Semiclassical differential structures
• An exact solution of 4D higher-spin gauge theory
• Brane partons and singleton strings
• Superconnections and the Chern character
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• Tensor constructions of open string theories. I. Foundations
• Nonlinear equations for symmetric massless higher spin fields in (A)dS\(_d\)
• Higher-spin gauge interactions for massive matter fields in \(3\)D AdS space-time
• A path integral approach to the Kontsevich quantization formula.
• Stringy gravity, interacting tensionless strings and massless higher spins
• New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity
• 4D higher spin black holes with nonlinear scalar fluctuations
• On the local frame in nonlinear higher-spin equations
• FRW and domain walls in higher spin gravity
• Geometry and observables in Vasiliev's higher spin gravity
• A minimal BV action for Vasiliev's four-dimensional higher spin gravity
• Massless higher spins and holography
• AdS dual of the critical \(O(N)\) vector model
• Deformation quantization of Poisson manifolds
• Twistor space observables and quasi-amplitudes in 4D higher-spin gravity
• Families of exact solutions to Vasiliev's 4D equations with spherical, cylindrical and biaxial symmetry
• Liouville correlation functions from four-dimensional gauge theories
• Fronsdal fields from gauge functions in Vasiliev's higher spin gravity
• New dualities of supersymmetric gauge theories
• Real forms of complex higher spin field equations and new exact solutions
• Star-product functions in higher-spin theory and locality
• 2D Poisson sigma models with gauged vectorial supersymmetry
• 2D sigma models and differential Poisson algebras
• The Geometry of the Master Equation and Topological Quantum Field Theory
• Frobenius–Chern–Simons gauge theory
• Action Principles for Higher and Fractional Spin Gravities
• Higher spin interactions in four-dimensions: Vasiliev versus Fronsdal
• An action principle for Vasiliev’s four-dimensional higher spin gravity
• Poisson Algebra of Differential Forms
• Biaxially symmetric solutions to 4D higher spin gravity