Higher Spins in Hyperspace
arXiv:1401.1645 · doi:10.1007/JHEP07(2014)105
Abstract
We consider the Sp(2n) invariant formulation of higher spin fields on flat and curved backgrounds of constant curvature.In this formulation an infinite number of higher spin fields are packed into single scalar and spinor master fields (hyperfields) propagating on extended spaces, to be called hyperspaces, parametrized by tensorial coordinates.We show that the free field equations on flat and AdS-like hyperspaces are related to each other by a generalized conformal transformation of the scalar and spinor master fields. We compute the four--point functions on a flat hyperspace for both scalar and spinor master fields, thus extending the two-- and three--point function results of arXiv:hep-th/0312244. Then using the generalized conformal transformation we derive two--, three-- and four--point functions on AdS--like hyperspace from the corresponding correlators on the flat hyperspace.
23 pages, typos corrected, references added. Published version
References in corpus (6)
- Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
- On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
- On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
- Tractors, Mass and Weyl Invariance
- CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge
- Higher Spin Fields in Siegel Space, Currents and Theta Functions
Cited by in corpus (14)
- Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
- Higher-Spin Theory and Space-Time Metamorphoses
- Higher Spin Conformal Geometry in Three Dimensions and Prepotentials for Higher Spin Gauge Fields
- Conformal geometry and (super)conformal higher-spin gauge theories
- Supersymmetric Continuous Spin Gauge Theory
- Higher Spins in Hyper-Superspace
- Mixed-symmetry multiplets and higher-spin curvatures
- Off-shell Supersymmetric Continuous Spin Gauge Theory
- Mixed-symmetry fields in AdS(5), conformal fields, and AdS/CFT
- Quartic interaction vertex in the massive integer higher spin field theory in a constant electromagnetic field
- Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background
- Long, partial-short, and special conformal fields
- Correlation Functions of Sp(2n) Invariant Higher-Spin Systems
- Unconstrained Massless Higher Spin Supermultiplet in AdS