In spite of the provocative title this is a run of the mill review of supersymmetry. The only thing which deserves some comment is that the author seems to think that coordinate free and coordinate dependent treatments belong to conflicting cultures. This is definitely not true. Coordinate free treatments concentrate one's mind on the geometry while coordinate dependent treatments are indispensable for computations producing numbers which can be compared with experimental values. Those who use the coordinate free treatment in their theoretical works have to revert to coordinates if they have to do any numerical computations. Those who rely entirely on coordinate dependent treatments can somehow manage to get some idea of the geometry but only by sacrificing elegance and brevity. Finally though multi-indexed tensorial symbols are reputed to be coordinate independent are in fact symbols representing coordinates!
@article{701705,
title = {Supersymmetry, a biased review},
booktitle = {Proceedings of the 22nd Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {2003},
pages = {[41]-66},
mrnumber = {MR1982433},
zbl = {1044.81112},
url = {http://dml.mathdoc.fr/item/701705}
}
Lindström, U. Supersymmetry, a biased review, dans Proceedings of the 22nd Winter School "Geometry and Physics", GDML_Books, (2003), pp. [41]-66. http://gdmltest.u-ga.fr/item/701705/