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Green-Schwarz string action on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mo>×</mml:mo><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>with Ramond-Ramond charge
We derive the classical \ensuremath{\kappa}-symmetric type IIB string action on ${\mathrm{AdS}}_{3}{\ifmmode\times\else\texttimes\fi{}\mathrm{S}}^{3}$ by employing the $\mathrm{SU}(1,1|{2)}^{2}$ algebra. We then gauge fix the \ensuremath{\kappa} symmetry in the background adapted Killing spinor gauge and present the action in a very simple form.