English

N=2 supersymmetric sigma-models in AdS

High Energy Physics - Theory 2011-11-29 v5

Abstract

We construct the most general N=2 supersymmetric nonlinear sigma-model in four-dimensional anti-de Sitter (AdS) space in terms of N=1 chiral superfields. The target space is shown to be a non-compact hyperkahler manifold restricted to possess a special Killing vector field. A remarkable property of the sigma-model constructed is that the algebra of OSp(2|4) transformations is closed off the mass shell.

Keywords

Cite

@article{arxiv.1105.3111,
  title  = {N=2 supersymmetric sigma-models in AdS},
  author = {Daniel Butter and Sergei M. Kuzenko},
  journal= {arXiv preprint arXiv:1105.3111},
  year   = {2011}
}

Comments

20 pages; v4 elaborated discussion in sections 3 and 5, typos corrected, version to appear in PLB; v5 typos corrected in eq (4.6)

R2 v1 2026-06-21T18:07:55.962Z