Mixed-symmetry tensor conserved currents and AdS/CFT correspondence

TL;DR

This paper classifies conserved currents of mixed-symmetry type constructed from massless spinor fields and links them to the spectrum of AdS mixed-symmetry fields via the AdS/CFT correspondence.

Contribution

It provides a complete list of such conserved currents and establishes their correspondence with AdS mixed-symmetry fields, expanding understanding of the AdS/CFT duality.

Findings

Complete set of conserved currents matches AdS mixed-symmetry fields spectrum.

Currents are built from two massless spinor fields and their derivatives.

Formulated properties of primary fields and currents of mixed-symmetry type.

Abstract

We present the full list of conserved currents built of two massless spinor fields in Minkowski space and their derivatives multiplied by Clifford algebra elements. The currents have particular mixed-symmetry type described by Young diagrams with one row and one column of arbitrary lengths and heights. Along with Yukawa-like totally antisymmetric currents the complete set of constructed currents exactly matches the spectrum of AdS mixed-symmetry fields arising in the generalized Flato-Fronsdal theorem for two spinor singletons. As a by-product, we formulate and study general properties of primary fields and conserved currents of mixed-symmetry type.