  We investigate negative tension branes as stable thin shell wormholes in
Reissner-Nordstrom-(anti) de Sitter spacetimes in $d$ dimensional Einstein
gravity. Imposing Z2 symmetry, we construct and classify traversable static
thin shell wormholes in spherical, planar (or cylindrical) and hyperbolic
symmetries. In spherical geometry, we find the higher dimensional counterpart
of Barcelo and Visser's wormholes, which are stable against spherically
symmetric perturbations. We also find the classes of thin shell wormholes in
planar and hyperbolic symmetries with a negative cosmological constant, which
are stable against perturbations preserving symmetries. In most cases, stable
wormholes are found with the combination of an electric charge and a negative
cosmological constant. However, as special cases, we find stable wormholes even
with vanishing cosmological constant in spherical symmetry and with vanishing
electric charge in hyperbolic symmetry.
