N = 4, d = 1 supermultiplets from nonlinear realizations of D (2, 1; )

2003/10/31 by Evgeny Ivanov, E Ivanov, Sergey Krivonos +3 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.1088/0264-9381/21/4/021

published as Class.Quant.Grav. 21 (2004) 1031-1050 · 1+21 pages; v2: reference added, version to appear in Class. Quantum Grav

arxiv created 2003/12/17 · openalex publication_date 2004/01/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Proceeding from nonlinear realizations of the most general N=4, d=1 superconformal symmetry associated with the supergroup D(2,1;α), we construct all known and two new off-shell N=4, d=1 supermultiplets as properly constrained N=4 superfields. We find plenty of nonlinear interrelations between the multiplets constructed and present a few examples of invariant superfield actions for them. The superconformal transformation properties of these multiplets are explicit within our method.

Cited by

• 𝒩 = 4 superconformal Calogero models
• N=4supersymmetric McIntosh-Cisneros-Zwanziger-Kepler systems onS3
• N=4, d=1 supersymmetric hyper-Kähler sigma models with isospin variables