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Theories in which the dark matter (DM) candidate is a fermion transformingchirally under a gauge symmetry are attractive, as the gauge symmetry wouldprotect the DM mass. In such theories, the universe would have undergone aphase transition at early times that generated the DM mass upon spontaneousbreaking of the gauge symmetry. In this paper, we explore the gravitationalwave signals of a simple such theory based on an $\mathrm{SU}(2)_\mathrm{D}$dark sector with a dark isospin-$3/2$ fermion serving as the DM candidate. Thisis arguably the simplest chiral theory possible. The scalar sector consists ofa dark isospin-$3$ multiplet which breaks the $\mathrm{SU}(2)_\mathrm{D}$ gaugesymmetry and also generates the DM mass. We construct the full thermalpotential of the model and identify regions of parameter space which lead todetectable gravitational wave signals, arising from a strong first-order$\mathrm{SU}(2)_\mathrm{D}$ phase transition, in various planned space-basedinterferometers, while also being consistent with dark matter relic abundance.Bulk of the parameter space exhibiting detectable gravitational wave signals inthe model also has large WIMP-nucleon scattering cross sections, $\sigma_{\rmSI}$, which could be probed in upcoming direct detection experiments.

Gravitational Wave Signatures of a Chiral Fermion Dark Matter Model