Mckean-Vlasov sdes with drifts discontinuous under wasserstein distance

Existence and uniqueness are proved for McKean-Vlasov type distribution dependent SDEs with singular drifts satisfying an integrability condition in space variable the Lipschitz respect to \begin{document}$ {\mathbb W}_0 $\end{document} or id="M2">\begin{document}$ W}_0+{\mathbb W}_\theta some id="M3">\begin{document}$ \theta\ge 1 $\end{document}, where id="M4">\begin{document}$ is total variation distance id="M5">\begin{document}$ id="M6">\begin{document}$ L^\theta $\end{document}-Wasserstein distance. This improves existing results (see instance [13]) derived continuous Wasserstein