Symmetries of higher-spin current interactions in four dimensions

Abstract

Current interaction of massless fields in four dimensions is shown to break sp (8) symmetry of free massless equations of all spins down to the conformal symmetry su (2,2). This breaking is in agreement with the form of nonlinear higher-spin field equations.

19 pages, contribution to the volume in honor of Igor Viktorovich Tyutin; V2: 20 pages, clarifications added, typos corrected, the version to be published in TMPh

References in corpus (6)

• AdS_4/CFT_3 Construction from Collective Fields
• On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
• Higher Spin Fields in Siegel Space, Currents and Theta Functions
• GL Flatness of OSp(1|2n) and Higher Spin Field Theory from Dynamics in Tensorial Spaces
• Higher Spins in Hyper-Superspace
• Correlation Functions in $\omega$-Deformed N=6 Supergravity

Cited by in corpus (12)

• On the Local Frame in Nonlinear Higher-Spin Equations
• Current Interactions and Holography from the 0-Form Sector of Nonlinear Higher-Spin Equations
• Current Interactions from the One-Form Sector of Nonlinear Higher-Spin Equations
• On current contribution to Fronsdal equations
• Twisted self-duality for higher spin gauge fields and prepotentials
• Planar solutions of higher-spin theory. Nonlinear corrections
• On unfolded off-shell formulation for higher-spin theory
• Three-dimensional conformal geometry and prepotentials for four-dimensional fermionic higher-spin fields
• Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
• Correlation Functions of Sp(2n) Invariant Higher-Spin Systems
• Symmetries and Invariants in Higher-Spin Theory
• A Bivariate Spline Method for Second Order Elliptic Equations in Non-Divergence Form