Simple theory of chiral fermion dark matter

We propose a theory of chiral fermion dark matter (DM) with an isospin-3/2 sector $SU(2)_D$ gauge symmetry, which is arguably the simplest theory. An isospin-3 scalar breaks down to discrete non-Abelian group $T'$ and generates DM mass. The symmetry protects mass guarantees its stability. derive consistency conditions for study phenomenology. In some regions parameters two-component scenario realized, consisting boson, boson being lightest nonsinglet field. case single component fermionic DM, we find that internal theory, perturbativity arguments, observed relic abundance limit be less than $280$ GeV, except when $s$-channel resonance are open annihilation. For significant part parameter space, can tested in direct detection signals at LZ XENONnT experiments.