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Phys. Rev. D 79, 025002 (2009) [8 pages]

Three-algebras and N=6 Chern-Simons gauge theories

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Jonathan Bagger*
Department of Physics and Astronomy, The Johns Hopkins University, 3400 North Charles Street, Baltimore, Maryland 21218, USA

Neil Lambert†
Department of Mathematics, King’s College London The Strand, London WC2R 2LS, United Kingdom

Received 8 August 2008; published 7 January 2009

See accompanying Physics Synopsis

We derive the general form for a three-dimensional scale-invariant field theory with N=6 supersymmetry, SU(4) R-symmetry and a U(1) global symmetry. The results can be written in terms of a 3-algebra in which the triple product is not antisymmetric. For a specific choice of 3-algebra we obtain the N=6 theories that have been recently proposed as models for M2-branes in an R8/Zk orbifold background.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.79.025002
DOI:
10.1103/PhysRevD.79.025002
PACS:
04.65.+e, 04.50.−h, 11.25.Hf

*bagger@jhu.edu

†neil.lambert@kcl.ac.uk

 
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