2012/07/31 by K. B. Alkalaev, Konstantin Alkalaev · 1 citation
Mathematics · Physics and Astronomy · #Antisymmetric relation #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometry #Massless particle #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Space (punctuation) #Spinor #Symmetry (geometry) #Type (biology) #hep-th
paper · pdf · doi:10.1088/1751-8113/46/21/214007
17 pages; v2: typos corrected, clarifications and refs added; v3: more explanations and refs added; contribution to the J.Phys.A special volume on "Higher Spin Theories and AdS/CFT" edited by Matthias Gaberdiel and Mikhail Vasiliev
arxiv created 2012/11/04 · openalex publication_date 2013/05/14 · arxiv updated 2015/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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–Frønsdal 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. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to 'Higher spin theories and holography'.