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Igor Bandos
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Supersymmetric non-Abelian multiwaves in 3 and 11 dimensions: Multiple M-waves and their simplest 3D counterpart.
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We present a covariant, supersymmetric and
$\kappa$--symmetric action for non-Abelian
multiwave system in flat D=3 and D=11 superspaces.
The latter describes a system of N nearly
coincident M0-branes (multiple M-waves or
mM0 system). Although a single M0-brane is
the massless 11D superparticle (hence the
name M-wave), the center of energy motion
of the mM0 system is characterized by a nonnegative
constant mass M constructed from the matrix
fields describing the relative motion of
mM0 constituents. We show that a bosonic
solution of the mM0 equations can be supersymmetric
iff this effective mass vanishes, M=0, and
that all the
supersymmetric bosonic solutions preserve
just one half of the 11D supersymmetry.
For the D=3 non-Abelian multiwaves, the simplest
counterpart of the mM0-system, we also present
the action in curved D=3 ${\cal N}=1$ AdS
superspace.
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