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We present a search for magnetic monopoles and high-electric-charge objectsusing LHC Run 2 $\sqrt{s} =$13 TeV proton$-$proton collisions recorded by theATLAS detector. A total integrated luminosity of 138 fb$^{-1}$ was collected bya specialized trigger. No highly ionizing particle candidate was observed.Considering the Drell-Yan and photon-fusion pair production mechanisms asbenchmark models, cross-section upper limits are presented for spin-0 andspin-$\frac{1}{2}$ magnetic monopoles of magnetic charge $1g_\textrm{D}$ and$2g_\textrm{D}$ and for high-electric-charge objects of electric charge $20\leq |z| \leq 100$, for masses between 200 GeV and 4000 GeV. The searchimproves by approximately a factor of three the previous cross-section limitson the Drell-Yan production of magnetic monopoles and high-electric chargeobjects. Also, the first ATLAS limits on the photon-fusion pair productionmechanism of magnetic monopoles and high-electric-charge objects have beenobtained.

Search for magnetic monopoles and stable particles with high electric charges in $\sqrt{s}=$13 TeV $pp$ collisions with the ATLAS detector