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Superconformal M2-branes and generalized Jordan triple systems
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- Nilsson, Bengt E W, 1952 (author)
- Chalmers tekniska högskola,Chalmers University of Technology,Fundamental Physics, Chalmers University of Technology, Göteborg, Sweden
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- Palmkvist, Jakob, 1980 (author)
- Chalmers tekniska högskola,Chalmers University of Technology,Fundamental Physics, Chalmers University of Technology, Göteborg, Sweden; Max Planck Institute for Gravitational Physics, Albert Einstein Institute, Golm, Germany
- (creator_code:org_t)
- 2009-03-02
- 2009
- English.
- In: Classical and Quantum Gravity. - : IOP Publishing. - 0264-9381 .- 1361-6382. ; 26:7, s. Article Number: 075007 -
- Journal article (peer-reviewed)
Abstract
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- Three-dimensional conformal theories with six supersymmetries and SU(4) R-symmetry describing stacks of M2-branes are here proposed to be related to generalized Jordan triple systems. Writing the four-index structure constants in an appropriate form, the Chern-Simons part of the action immediately suggests a connection to such triple systems. In contrast to the previously considered 3-algebras, the additional structure of a generalized Jordan triple system is associated with a graded Lie algebra, which corresponds to an extension of the gauge group. In this paper we show that the whole theory with six manifest supersymmetries can be naturally expressed in terms of such a graded Lie algebra. Also the Bagger, Lambert and Gustavsson theory with eight supersymmetries is included as a special case.
Subject headings
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
Keyword
- Jordan triple systems
- string/M theory
- 3d conformal theories
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