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.
Highlights
Where yα and yβ (α, β = 1, 2) are twistor-like Weyl-spinor variables, which are used to incorporate into a compact form an infinite number of physical higher spin gauge fields and their field strengths with spins s growing from zero to infinity, as well as an infinite number of auxiliary fields
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
The study of one of the “hidden” symmetries of free field equations of massless higher spin fields and, in particular, the restrictions that this symmetry imposes on their correlation functions in flat and AdS spaces is the subject of this paper
Summary
The flat hyperspace and the Sp(n) group manifold can be realized as different cosets of their generalized conformal group Sp(2n) This prompts one to ask whether their geometries, as well as the solutions of the scalar and spinor field equations in flat and Sp(n) hyperspace, can locally be related by a generalized conformal transformation in a way similar to the conformally flat cases of conventional Minkowski and AdS spaces. The answer to this question turns out to be positive.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
