Search for lepton-flavor violation in different-flavor, high-mass final states in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mi>p</mml:mi></mml:math> collisions at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>13</mml:mn><mml:mtext> </mml:mtext><mml:mtext> </mml:mtext><mml:mi>TeV</mml:mi></mml:math> with the ATLAS detector

A search is performed for a heavy particle decaying into different-flavor, dilepton pairs ($e\ensuremath{\mu}$, $e\ensuremath{\tau}$ or $\ensuremath{\mu}\ensuremath{\tau}$), using $36.1\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of proton-proton collision data at $\sqrt{s}=13\text{ }\text{ }\mathrm{TeV}$ collected in 2015--2016 by the ATLAS detector at the Large Hadron Collider. No excesses over the Standard Model predictions are observed. Bayesian lower limits at the 95% credibility level are placed on the mass of a ${Z}^{\ensuremath{'}}$ boson, the mass of a supersymmetric $\ensuremath{\tau}$-sneutrino, and on the threshold mass for quantum black-hole production. For the ${Z}^{\ensuremath{'}}$ and sneutrino models, upper cross-section limits are converted to upper limits on couplings, which are compared with similar limits from low-energy experiments and which are more stringent for the $e\ensuremath{\tau}$ and $\ensuremath{\mu}\ensuremath{\tau}$ modes.

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