Aspects of supersymmetry in multiple membrane theories (original) (raw)
2010, Arxiv preprint arXiv:1012.2707
This thesis consists of two parts. In the first 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 l 3 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 field to be dualised to a scalar field in 2+1 dimensions. Applying this duality to α ′2 terms of the non-abelian D2-brane theory gives rise to the l 3 p corrections of the Lorentzian Bagger-Lambert theory. We then apply this duality transformation to the α ′2 corrections of the D2-brane supersymmetry transformations. For the 'abelian' Bagger-Lambert theory we are able to uniquely determine the l 3 p corrections to the supersymmetry transformations of the scalar and fermion fields. Generalising to the 'non-abelian' Bagger-Lambert theory we are able to determine the l 3 p correction to the supersymmetry transformation of the fermion field. Along the way make a number of observations relating to the implementation of the dNS duality transformation at the level of supersymmetry transformations.
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