2014/08/31 by Ioannis Florakis, Dmitri Sorokin, Mirian Tsulaia
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2014.11.017
published as Nucl.Phys.B890:279-301,2015 · 25 pages, discussion in section 4.1 improved, references added; subsection 2.4 and conclusions expanded, typos corrected, references added, published version
arxiv created 2014/12/04 · arxiv updated 2015/02/10
We extend the results of arXiv:1401.1645 on the generalized conformal Sp(2n)-structure of infinite multiplets of higher spin fields, formulated in spaces with extra tensorial directions (hyperspaces), to the description of OSp(1|2n)-invariant infinite-dimensional higher-spin supermultiplets formulated in terms of scalar superfields on flat hyper-superspaces and on OSp(1|n) supergroup manifolds. We find generalized superconformal transformations relating the superfields and their equations of motion in flat hyper-superspace with those on the OSp(1|n) supermanifold. We then use these transformations to relate the two-, three- and four-point correlation functions of the scalar superfields on flat hyperspace, derived by requiring the OSp(1|2n) invariance of the correlators, to correlation functions on the OSp(1|n) group manifold. As a byproduct, for the simplest particular case of a conventional N=1, D=3 superconformal theory of scalar superfields, we also derive correlation functions of component fields of the scalar supermultiplet including those of auxiliary fields.