Finite Temperature Transition in Hyper Stealth Dark Matter using M\"{o}bius Domain Wall Fermions

The first-order confinement transition of a strongly coupled composite dark matter theory can provide a possible source of gravitational waves in the early universe. In this work, on behalf of the Lattice Strong Dynamics (LSD) Collaboration, we present our recent investigation on the finite temperature confinement transition of the one-flavor SU(4) dark gauge theory named Hyper Stealth Dark Matter (HSDM). The dark matter candidate in this theory is a composite bosonic baryon and can have a remarkably low mass of a few GeV. We expect the finite temperature transition to be first-order over at least in some finite range of fermionic masses and to be a potential source of observable gravitational radiation. The finite temperature simulation of one-flavor SU(4) is done by using M\"{o}bius Domain wall fermions. The order of the transition and its fermionic mass dependence are explored by monitoring the Polyakov loop, chiral condensate and topological charge using three lattice volumes at $N_t=8$.