Conformal Higher Spin Currents in Any Dimension and AdS/CFT Correspondence

TL;DR

This paper classifies all conformal higher spin currents from scalar and spinor fields across dimensions and reveals their connection to AdS symmetries via dimensional reduction, enriching the understanding of higher spin symmetries in conformal field theories.

Contribution

It provides a complete list of conformal higher spin currents and establishes a direct correspondence with higher spin symmetries in one higher dimension.

Findings

Complete classification of conformal higher spin currents.

One-to-one correspondence with higher spin symmetries in d+1 dimensions.

Insight into the relationship between conformal and AdS higher spin symmetries.

Abstract

The full list of conserved conformal higher spin currents built from massless scalar and spinor fields is presented. It is shown that, analogously to the relationship between usual conformal and AdS symmetries, the set of the conformal higher spin symmetry parameters associated with the conformal conserved currents in d dimensions is in the one-to-one correspondence with the result of the dimensional reduction of the usual (i.e., non-conformal) higher spin symmetry parameters in d+1 dimensions.