Bianchi attractors are near horizon geometries with homogeneous symmetries in
the spatial directions. We construct supersymmetric Bianchi attractors in
$\mathcal{N}=2, d=4,5$ gauged supergravity...In $d=4$ we consider gauged
supergravity coupled to vector and hypermultiplets. In $d=5$ we consider gauged
supergravity coupled to vector multiplets with a generic gauging of symmetries
of the scalar manifold and the $U(1)_R$ gauging of the $R$-symmetry. Analyzing
the gaugino conditions we show that when the fermionic shifts do not vanish
there are no supersymmetric Bianchi attractors. This is analogous to the known
condition that for maximally supersymmetric solutions, all the fermionic shifts
must vanish. When the central charge satisfies an extremization condition, some
of the fermionic shifts vanish and supersymmetry requires that the symmetries
of the scalar manifold do not be gauged. This allows supersymmetric Bianchi
attractors sourced by massless gauge fields and a cosmological constant. In
five dimensions in the Bianchi I class we show that the anisotropic
$AdS_3\times\mathbb{R}^2$ solution is $1/2$ BPS. We also construct a new class
of $1/2$ BPS Bianchi III geometries labeled by the central charge. When the
central charge takes a special value the Bianchi III geometry reduces to the
known $AdS_3\times\mathbb{H}^2$ solution. For the Bianchi V and VII classes the
radial spinor breaks all of supersymmetry. We briefly discuss the conditions
for possible massive supersymmetric Bianchi solutions by generalizing the
matter content to include tensor, hypermultiplets and a generic gauging on the
R symmetry.(read more)