N=2 supersymmetric sigma-models in AdS

TL;DR

This paper constructs the most general N=2 supersymmetric nonlinear sigma-model in four-dimensional AdS space, revealing that the target space is a non-compact hyperkahler manifold with a special Killing vector, and the algebra closes off-shell.

Contribution

It provides a comprehensive formulation of N=2 supersymmetric sigma-models in AdS, highlighting the geometric structure and off-shell algebra closure.

Findings

Target space is a non-compact hyperkahler manifold with a special Killing vector.

The algebra of OSp(2|4) transformations closes off-shell.

The model is the most general form in four-dimensional AdS with N=2 supersymmetry.

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.