  We present a new infinite family of Type IIB supergravity solutions
preserving eight supercharges. The structure of the space is
$\text{AdS}_2\times\text{S}^2\times \text{CY}_2\times \text{S}^1$ fibered over
an interval. These solutions can be related through double analytical
continuations with those recently constructed in \cite{Lozano:2020txg}. Both
types of solutions are however dual to very different superconformal quantum
mechanics. We show that our solutions fit locally in the class of
$\text{AdS}_2\times \text{S}^2\times \text{CY}_2$ solutions fibered over a 2d
Riemann surface $\Sigma$ constructed by Chiodaroli, Gutperle and Krym, in the
absence of D3 and D7 brane sources. We compare our solutions to the global
solutions constructed by Chiodaroli, D'Hoker and Gutperle for $\Sigma$ an
annulus. We also construct a cohomogeneity-two family of solutions using
non-Abelian T-duality. Finally, we relate the holographic central charge of our
one dimensional system to a combination of electric and magnetic fluxes. We
propose an extremisation principle for the central charge from a functional
constructed out of the RR fluxes.
