Aspects of supersymmetry in multiple membrane theories
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This thesis consists of two parts. In the rst part we investigate the worldvolume
supersymmetry algebra of multiple membrane theories. We begin with a description
of M-theory branes and their intersections from the perspective of spacetime
and worldvolume supersymmetry algebras. We then provide an overview of the
recent work on multiple M2-branes focusing on the Bagger-Lambert theory and
its relation to the Nambu-Poisson M5-brane and the ABJM theory. The worldvolume
supersymmetry algebras of these theories are explicitly calculated and the
charges interpreted in terms of spacetime intersections of M-branes.
The second part of the thesis looks at l3
p corrections to the supersymmetry
transformations of the Bagger-Lambert theory. We begin with a review of the
dNS duality transformation which allows a gauge eld to be dualised to a scalar
eld in 2+1 dimensions. Applying this duality to 02 terms of the non-abelian
D2-brane theory gives rise to the l3
p corrections of the Lorentzian Bagger-Lambert
theory. We then apply this duality transformation to the 02 corrections of the
D2-brane supersymmetry transformations. For the `abelian' Bagger-Lambert theory
we are able to uniquely determine the l3
p corrections to the supersymmetry
transformations of the scalar and fermion elds. Generalising to the `non-abelian'
Bagger-Lambert theory we are able to determine the l3
p correction to the supersymmetry
transformation of the fermion eld. Along the way make a number of
observations relating to the implementation of the dNS duality transformation at
the level of supersymmetry transformations.
Authors
Low, Andrew MCollections
- Theses [4403]