2D (4,4) hypermultiplets (I): Diversity for N=4 models

1995/04/19 by S. James Gates, S. James Gates Jr., Sergei V. Ketov · 17 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #D-term #Geometry #Invariant (physics) #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Scalar (mathematics) #Shell (structure) #Supergravity #Supermultiplet #Superspace #Supersymmetry #Tensor (intrinsic definition) #Theoretical physics #hep-th

paper · pdf · doi:10.1016/s0370-2693(97)01504-9

published in Physics Letters B 418(1-2), 111-118 (Elsevier BV) · 13 pages, macros included; revised: a few references added

arxiv created 1995/04/19 · openalex publication_date 1998/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The structure of on-shell and off-shell 2D, (4,4) supersymmetric scalar multiplets is investigated, in components and in superspace. We reach the surprising result that there exist eight \underline distinct on-shell versions and an even greater variety of off-shell ones. The off-shell generalised tensor and relaxed N = 4 multiplets are introduced in superspace, and their universal invariant self-interaction is constructed.

Citations

• Sigma models and the ADHM construction of instantons
• SU(2)× SU(2) harmonic superspace and (4,4) sigma models with torsion
• A canticle on (4,0) supergravity-scalar multiplet systems for a “cognoscente”

Cited by

• Harmonic superpotentials and symmetries in gauge theories with eight supercharges
• A derivation of an off-shell 2D, \cal N=(2\hbox, 2) supergravity chiral projection operator