2014/01/31 by Ioannis Florakis, Dmitri Sorokin, Mirian Tsulaia · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Geometric Analysis and Curvature Flows #Hyperspace #Invariant (physics) #Noncommutative and Quantum Gravity Theories #Pure spinor #Scalar (mathematics) #Scalar field #Spinor #Spins #hep-th
paper · pdf · doi:10.1007/jhep07(2014)105
published as JHEP 1407:105,2014 · 23 pages, typos corrected, references added. Published version
openalex publication_date 2014/07/01 · arxiv created 2014/07/25 · arxiv updated 2014/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 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.