Super eightbrane in superspace

We present a superspace formulation for super eightbrane theory based on massive type IIA supergravity in ten-dimensions. Remarkably, in addition to the 10-form superfield strength originally needed for super eightbrane, we also need an `over-rankedʹ 11-form superfield strength HA1⋯A11 with identically vanishing purely bosonic component, in order to satisfy all the Bianchi identities. As a natural super p-brane formulation for the 11-form superfield strength, we present a super ninebrane action on 10-dimensional super-worldvolume invariant under a local fermionic κ-symmetry. We also show that we can formulate such a superspace with an `over-rankedʹ superfield strength also in eleven-dimensions, and possibly in other lower dimensions as well.