jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pThree searches for the direct production of jats:italicτ</jats:italic>-sleptons or charginos and neutralinos in final states with at least two hadronically decaying jats:italicτ</jats:italic>-leptons are presented. For chargino and neutralino production, decays via intermediate jats:italicτ</jats:italic>-sleptons or jats:italicW</jats:italic> and jats:italich</jats:italic> bosons are considered. The analysis uses a dataset of jats:italicpp</jats:italic> collisions corresponding to an integrated luminosity of 139 fbjats:supjats:italic−</jats:italic>1</jats:sup>, recorded with the ATLAS detector at the Large Hadron Collider at a centre-of-mass energy of 13 TeV. No significant deviation from the expected Standard Model background is observed and supersymmetric particle mass limits at 95% confidence level are obtained in simplified models. For direct production of jats:inline-formulajats:alternativesjats:tex-math$$ {\overset{\sim }{\chi}}_1^{+}{\overset{\sim }{\chi}}_1^{-} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msubsup mml:mover mml:miχ</mml:mi> mml:mo~</mml:mo> </mml:mover> mml:mn1</mml:mn> mml:mo+</mml:mo> </mml:msubsup> mml:msubsup mml:mover mml:miχ</mml:mi> mml:mo~</mml:mo> </mml:mover> mml:mn1</mml:mn> mml:mo−</mml:mo> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula>, chargino masses are excluded up to 970 GeV, while jats:inline-formulajats:alternativesjats:tex-math$$ {\overset{\sim }{\chi}}_1^{\pm } $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msubsup mml:mover mml:miχ</mml:mi> mml:mo~</mml:mo> </mml:mover> mml:mn1</mml:mn> mml:mo±</mml:mo> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> and jats:inline-formulajats:alternativesjats:tex-math$$ {\overset{\sim }{\chi}}_2^0 $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msubsup mml:mover mml:miχ</mml:mi> mml:mo~</mml:mo> </mml:mover> mml:mn2</mml:mn> mml:mn0</mml:mn> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> masses up to 1160 GeV (330 GeV) are excluded for jats:inline-formulajats:alternativesjats:tex-math$$ {\overset{\sim }{\chi}}_1^{\pm }{\overset{\sim }{\chi}}_2^0/{\overset{\sim }{\chi}}_1^{+}{\overset{\sim }{\chi}}1^{-} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msubsup mml:mover mml:miχ</mml:mi> mml:mo~</mml:mo> </mml:mover> mml:mn1</mml:mn> mml:mo±</mml:mo> </mml:msubsup> mml:msubsup mml:mover mml:miχ</mml:mi> mml:mo~</mml:mo> </mml:mover> mml:mn2</mml:mn> mml:mn0</mml:mn> </mml:msubsup> mml:mo/</mml:mo> mml:msubsup mml:mover mml:miχ</mml:mi> mml:mo~</mml:mo> </mml:mover> mml:mn1</mml:mn> mml:mo+</mml:mo> </mml:msubsup> mml:msubsup mml:mover mml:miχ</mml:mi> mml:mo~</mml:mo> </mml:mover> mml:mn1</mml:mn> mml:mo−</mml:mo> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula> production with subsequent decays via jats:italicτ</jats:italic>-sleptons (jats:italicW</jats:italic> and jats:italich</jats:italic> bosons). Masses of jats:italicτ</jats:italic>-sleptons up to 500 GeV are excluded for mass degenerate jats:inline-formulajats:alternativesjats:tex-math$$ {\overset{\sim }{\tau}}{L,R} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msub mml:mover mml:miτ</mml:mi> mml:mo~</mml:mo> </mml:mover> mml:mrow mml:miL</mml:mi> mml:mo,</mml:mo> mml:miR</mml:mi> </mml:mrow> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula> scenarios and up to 425 GeV for jats:inline-formulajats:alternativesjats:tex-math$$ {\overset{\sim }{\tau}}_L $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msub mml:mover mml:miτ</mml:mi> mml:mo~</mml:mo> </mml:mover> mml:miL</mml:mi> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula>-only scenarios. Sensitivity to jats:inline-formulajats:alternativesjats:tex-math$$ {\overset{\sim }{\tau}}_R $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msub mml:mover mml:miτ</mml:mi> mml:mo~</mml:mo> </mml:mover> mml:miR</mml:mi> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula>-only scenarios from the ATLAS experiment is presented here for the first time, with jats:inline-formulajats:alternativesjats:tex-math$$ {\overset{\sim }{\tau}}_R $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msub mml:mover mml:miτ</mml:mi> mml:mo~</mml:mo> </mml:mover> mml:miR</mml:mi> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula> masses excluded up to 350 GeV.</jats:p>