Higher-Spin Theory and Space-Time Metamorphoses

Abstract

Introductory lectures on higher-spin gauge theory given at 7 Aegean workshop on non-Einstein theories of gravity. The emphasis is on qualitative features of the higher-spin gauge theory and peculiarities of its space-time interpretation. In particular, it is explained that Riemannian geometry cannot play a fundamental role in the higher-spin gauge theory. The higher-spin symmetries are argued to occur at ultra high energy scales beyond the Planck scale. This suggests that the higher-spin gauge theory can help to understand Quantum Gravity. Various types of higher-spin dualities are briefly discussed.

37 pages, no figures; V2: references added

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• On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
• Conformal Higher Spin Currents in Any Dimension and AdS/CFT Correspondence
• Real Forms of Complex Higher Spin Field Equations and New Exact Solutions
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• Symmetries and currents of the ideal and unitary Fermi gases
• Higher Spins in Hyperspace
• Brief review on higher spin black holes
• Higher Spin vs. Renormalization Group Equations
• CFT adapted approach to massless fermionic fields, AdS/CFT, and fermionic conformal fields

Cited by in corpus (32)

• $L_{\infty }$ Algebras and Field Theory
• The analytic structure of conformal blocks and the generalized Wilson-Fisher fixed points
• From Higher Spins to Strings: A Primer
• Partially Massless Higher-Spin Theory
• Arbitrary spin conformal fields in (A)dS
• On the Local Frame in Nonlinear Higher-Spin Equations
• Holography as a Gauge Phenomenon in Higher Spin Duality
• General Cubic Interacting Vertex for Massless Integer Higher Spin Fields
• Comments on interactions in the SUSY models
• Charges in nonlinear higher-spin theory
• Constrained BRST- BFV Lagrangian formulations for Higher Spin Fields in Minkowski Spaces
• Quartic interaction vertex in the massive integer higher spin field theory in a constant electromagnetic field
• Covariant Cubic Interacting Vertices for Massless and Massive Integer Higher Spin Fields
• Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background
• BRST Analysis of the Supersymmetric Higher Spin Field Models
• BRST-BV Quantum Actions for Constrained Totally-Symmetric Integer HS Fields
• Conformal symmetry for relativistic point particles
• Constrained BRST-BFV and BRST-BV Lagrangians for half-integer HS fields on $R^{1,d-1}$
• BRST-BV approach for interacting higher spin fields
• Gauge Invariant Lagrangian Formulations for Mixed Symmetry Higher Spin Bosonic Fields in AdS Spaces
• Unfolded Formulation of 4d Yang-Mills Theory
• Instantons and the Hartle-Hawking-Maldacena Proposal for dS/CFT
• Gauge-invariant Lagrangians for mixed-antisymmetric higher spin fields
• Higher Spin Double Field Theory : A Proposal
• Two-twistor particle models and free massive higher spin fields
• Lagrangian formulation of the massive higher spin supermultiplets in three dimensional space-time
• Conformal numbers
• Lagrangian formulation of free arbitrary N-extended massless higher spin supermultiplets in 4D, AdS space
• A Generalization of Gravity
• Covariant Lagrangian Cubic Interaction Vertices For Irreducible Higher Spin Fields in Minkowski Backgrounds
• Anomaly of Tensionless String in Light-cone Gauge
• Towards Lagrangian dynamics for constrained mixed-symmetric interacting higher-spin fields