  Bianchi attractors are homogeneous but anisotropic extremal black brane
horizons. We study the $AdS_3 \times \mathbb{H}^2$ solution which is a special
case of Bianchi type III in a $U(1)_R$ gauged supergravity. For a wide range of
values for certain free parameters in gauged supergravity, there exist a large
class of solutions that satisfy conditions for the attractor mechanism to hold.
We investigate the response of the solution against linearized fluctuations of
the scalar field. The sufficient conditions for the attractor mechanism ensure
that there exist a solution for the scalar fluctuation which dies out at the
horizon. Furthermore, we solve for the gauge field and metric fluctuations that
are sourced by scalar fluctuations and show that they are well behaved near the
horizon. Thus, we have an example of a stable Bianchi attractor in gauged
supergravity. We also analyze the Killing spinor equations of gauged
supergravity in the background of our solution. We find that a radial Killing
spinor consistent with the Bianchi III symmetry breaks supersymmetry.

High Energy Physics - Theory