The Spacetime Superalgebras in a Massive IIA Background via Brane Probes

Abstract

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 $\theta$ via canonical formalism, and show that the forms of the superalgebras are the same as those in all the other D-brane (i.e. massless IIA) backgrounds, that is, they are indifferent to the presence of the Chern-Simons terms which are proportional to the mass and added to the D-brane actions in the case of massive IIA backgrounds. Thus, we can say that all the D-brane background solutions including a 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 supersymmetric ``gauge fixings'' of the test branes in the D-8-brane background.

15pages, Latex, in v2 two references added and some grammatical and spelling errors corrected. in v3 the title is a bit modified and one reference is added

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• Intersections involving waves and monopoles in eleven dimensions
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Cited by in corpus (8)

• Brane Effective Actions, Kappa-Symmetry and Applications
• The D8-Brane Tied up: String and Brane Solutions in Massive Type IIA Supergravity
• Wess-Zumino term for AdS superstring
• Superalgebras in Many Types of M-Brane Backgrounds and Various Supersymmetric Brane Configurations
• Spacetime Superalgebra in AdS_4 \times S^7 via Supermembrane Probe
• Topological BPS charges in 10 and 11-dimensional supergravity
• Superstring 'ending' on super-D9-brane: a supersymmetric action functional for the coupled brane system
• The mass formula for a fundamental string as a BPS solution of a D-brane's worldvolume