Study of symmetries in finite temperature $N_f=2$ QCD with Möbius Domain Wall Fermions

We report on the ongoing study of symmetry of $N_f=2$ QCD around the critical temperature. Our simulations of $N_f=2$ QCD employ the Möbius domain-wall fermion action with residual mass $\sim 1MeV$ or less, maintaining a good chiral symmetry. Using the screening masses from the two point spatial correlators we compare the mass difference between channels connected through various symmetry transformations. Our analysis focuses on restoration of the $SU(2{)}_L\times SU(2{)}_R$ as well as anomalously broken axial $U(1{)}_A$. We also present additional study of a potential $SU(2{)}_{CS}$ symmetry which may emerge at sufficiently high temperatures.