First attempts and steps for supersymmetrization
Horava - Witten: supersymmetrization by cancellation anomalies bulk ? non-invariance classical brane action
Lukas, Ovrut, Stelle, Waldram: compactify this on Calabi-Yau to 5 dimensions
Altendorfer, Bagger, Nemeschansky: with new susy transformations depending on Killing spinors
Falkowski, Lalak and Pokorski: modifying action in bulk. Not supersymmetric, compensated by brane action.
Our approach is most close to the latter, but complete invariance is obtained.