English

All $(4,1)$: Sigma Models with $(4,q)$ Off-Shell Supersymmetry

High Energy Physics - Theory 2017-04-05 v3 Mathematical Physics math.MP

Abstract

Off-shell (4,q)(4,q) supermultiplets in 2-dimensions are constructed for q=1,2,4q=1,2,4. These are used to construct sigma models whose target spaces are hyperk\"ahler with torsion. The off-shell supersymmetry implies the three complex structures are simultaneously integrable and allows us to construct actions using extended superspace and projective superspace, giving an explicit construction of the target space geometries.

Keywords

Cite

@article{arxiv.1611.09884,
  title  = {All $(4,1)$: Sigma Models with $(4,q)$ Off-Shell Supersymmetry},
  author = {Chris Hull and Ulf Lindström},
  journal= {arXiv preprint arXiv:1611.09884},
  year   = {2017}
}

Comments

32 pages, 1 figure, References, comments and an additional example added