Before revision:  In particular, we overcome a key bottleneck of previous IPMs applying to maxflow (Madry 2013, Madry 2016, Cohen M\k{a Liu Sidford 2019 , Axiotis M\k{a ), which make progress by maximizing the energy of local \ell_2 norm minimizing electric flows.
After revision:  In particular, we overcome a key bottleneck of previous IPMs applying to maxflow (Madry 2013, Madry 2016, Liu Sidford 2019 , Axiotis M\k{a ), which make progress by maximizing the energy of local \ell_2 norm minimizing electric flows.