Aspects of supersymmetry in multiple membrane theories
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.
AuthorsLow, Andrew M
- Theses