Do Three Dimensions tell us Anything about a Theory of Everything?

Details Do Three Dimensions tell us Anything about a Theory of Everything? Do Three Dimensions tell us Anything about a Theory of Everything?

2009-01-16

arxiv.org/abs/0901.2532v2

New J.Phys.12:043050,2010

Physics

High Energy Physics

High Energy Physics - Theory

20 pages Latex, 2 eps figures

Scientific paper

10.1088/1367-2630/12/4/043050

It has been conjectured that four-dimensional N=8 supergravity may provide a suitable framework for a `Theory of Everything', if its composite SU(8) gauge fields become dynamical. We point out that supersymmetric three-dimensional coset field theories motivated by lattice models provide toy laboratories for aspects of this conjecture. They feature dynamical composite supermultiplets made of constituent holons and spinons. We show how these models may be extended to include N=1 and N=2 supersymmetry, enabling dynamical conjectures to be verified more rigorously. We point out some special features of these three-dimensional models, and mention open questions about their relevance to the dynamics of N=8 supergravity.

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