Supersymmetric States in Anti–de Sitter D=3 Supergravity with Chiral Torsion

In this Letter, we construct a supersymmetric model, obtained by deforming <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi mathvariant="script">N</a:mi><a:mo>=</a:mo><a:mn>2</a:mn></a:mrow></a:math> anti–de Sitter <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:mrow><d:mi mathvariant="italic">D</d:mi><d:mo>=</d:mo><d:mn>3</d:mn></d:mrow></d:math> supergravity through a chiral vector component of the torsion. Moreover, we study the existence of supersymmetric states of such theory by inspecting the presence of Killing spinors on a specific bosonic solution.