The spacetime superalgebras in a massive IIA background via brane probes

We derive the spacetime superalgebras explicitly from ``test'' p-brane actions in a D-8-brane (i.e. a massive IIA) background to the lowest order in are the same as those in all the other D-brane (i.e. massless) backgrounds, that is, they are indifferent to the presence of the Chern-Simons terms which is proportional to the mass and added to the D-brane actions in the case of massive backgrounds. Thus, we can say that all the D-brane background solutions including D-8-brane are on equal footing from the viewpoint of the superalgebras via brane probes. We also deduce from the algebra all the previously known 1/4 supersymmetric intersections of a p-brane or a fundamental string with a D-8-brane, as the BPS ``gauge fixings'' of the test branes in the D-8-brane background