2015/09/30 by Evgeny Ivanov, E. Ivanov, Stepan Sidorov +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Combinatorics #Dimension (graph theory) #Dimensionless quantity #Mathematical physics #Mathematics #Multiplet #Particle physics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Spectral line #Superfield #Supersymmetry #hep-th #msc:17A70 #msc:81Q60 #msc:81T60
paper · pdf · doi:10.1103/physrevd.93.065052
1 + 19 pages, new comments added, typos corrected, published version
arxiv created 2016/03/17 · openalex publication_date 2016/03/23 · arxiv updated 2016/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The ``long'' indecomposable N=2, d=1 multiplet (2,4,2) defined in B. Assel et al. [J. High Energy Phys. 07 (2015) 043] as a deformation of the pair of chiral multiplets (2,2,0) and (0,2,2) by a number of the mass-dimension parameters is described in the superfield approach. We present its most general superfield and component actions as well as a generalization to the case with the superfields of the opposite Grassmann parities and dimensionless deformation parameter. We show that the long N=2, d=1 multiplets are naturally embedded into the chiral SU(2|1), d=1 superfields having nonzero external spins with respect to SU(2)\ensuremath⊂SU(2|1). A superfield with spin s contains 2s long multiplets and two short multiplets (2,2,0) and (0,2,2). Two possible N=4, d=1 generalizations of the N=2 long multiplet in the superfield approach are also proposed.