Correlation Functions of Sp(2n) Invariant Higher-Spin Systems
Abstract
We study the general structure of correlation functions in an Sp(2n)-invariant formulation of systems of an infinite number of higher-spin fields. For n=4,8 and 16 these systems comprise the conformal higher-spin fields in space-time dimensions D=4,6 and 10, respectively, while when n=2, one deals with conventional D=3 conformal field theories of scalars and spinors. We show that for n>2 the Sp(2n) symmetry and current conservation makes the 3-point correlators of two (rank-one or rank-two) conserved currents with a scalar operator be that of free theory.This situation is analogous to the one in conventional conformal field theories, where conservation of higher-spin currents implies that the theories are free.
Cite
@article{arxiv.1605.08498,
title = {Correlation Functions of Sp(2n) Invariant Higher-Spin Systems},
author = {E. D. Skvortsov and Dmitri Sorokin and Mirian Tsulaia},
journal= {arXiv preprint arXiv:1605.08498},
year = {2016}
}
Comments
26 pages, some clarifications added, published version