This paper presents a 6d world-volume action that describes the dynami
cs of the M-theory five-brane in a hat lid space-time background. The
world-volume action has global lid super-Poincare invariance, as well
as 6d general coordinate invariance and kappa symmetry, which are real
ized as local symmetries. The paper mostly considers a formulation in
which general coordinate invariance is not manifest in one direction.
However, it also describes briefly an alternative formulation, due to
Pasti, Sorokin, and Tonin, in which general coordinate invariance is m
anifest. The latter approach requires auxiliary fields and new gauge i
nvariances. (C) 1997 Elsevier Science B.V.