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We present STAR measurements of strange hadron ($\mathrm{K}^{0}_{\mathrm S}$,$\Lambda$, $\overline{\Lambda}$, $\Xi^-$, $\overline{\Xi}^+$, $\Omega^-$,$\overline{\Omega}^+$, and $\phi$) production at mid-rapidity ($|y| < 0.5$) inAu+Au collisions at $\sqrt{s_{_{\mathrm{NN}}}}$ = 7.7 - 39 GeV from the BeamEnergy Scan Program at the Relativistic Heavy Ion Collider (RHIC). Transversemomentum spectra, averaged transverse mass, and the overall integrated yieldsof these strange hadrons are presented versus the centrality and collisionenergy. Antibaryon-to-baryon ratios ($\overline{\Lambda}$/$\Lambda$,$\overline{\Xi}^+$/$\Xi^-$, $\overline{\Omega}^+$/$\Omega^-$) are presented aswell, and used to test a thermal statistical model and to extract thetemperature normalized strangeness and baryon chemical potentials at hadronicfreeze-out ($\mu_{B}/T_{\rm ch}$ and $\mu_{S}/T_{\rm ch}$) in centralcollisions. Strange baryon-to-pion ratios are compared to various modelpredictions in central collisions for all energies. The nuclear modificationfactors ($R_{\textrm{CP}}$) and antibaryon-to-meson ratios as a function oftransverse momentum are presented for all collision energies. The$\mathrm{K}^{0}_{\mathrm S}$ $R_{\textrm{CP}}$ shows no suppression for $p_{\rmT}$ up to 3.5 $\mathrm{GeV} / c$ at energies of 7.7 and 11.5 GeV. The$\overline{\Lambda}$/$\mathrm{K}^{0}_{\mathrm S}$ ratio also showsbaryon-to-meson enhancement at intermediate $p_{\rm T}$ ($\approx$2.5$\mathrm{GeV} / c$) in central collisions at energies above 19.6 GeV. Bothobservations suggest that there is likely a change of the underlying strangequark dynamics at collision energies below 19.6 GeV.

Strange hadron production in Au+Au collisions at $\sqrt{s_{_{\mathrm{NN}}}}$ = 7.7, 11.5, 19.6, 27, and 39 GeV