The Morphology of N=6 Chern-Simons Theory

Details The Morphology of N=6 Chern-Simons Theory The Morphology of N=6 Chern-Simons Theory

2009-03-16

arxiv.org/abs/0903.2548v2

JHEP 0907:036,2009

Physics

High Energy Physics

High Energy Physics - Theory

41 pages, 1 figure; v2: minor corrections

Scientific paper

10.1088/1126-6708/2009/07/036

We tabulate various properties of the language of N=6 Chern-Simons Theory, in the sense of Polyakov. Specifically we enumerate and compute character formulas for all syllables of up to four letters, i.e. all irreducible representations of OSp(6|4) built from up to four fundamental fields of the ABJM theory. We also present all tensor product decompositions for up to four singletons and list the (cyclically invariant) four-letter words, which correspond to single-trace operators of length four. As an application of these results we use the two-loop dilatation operator to compute the leading correction to the Hagedorn temperature of the weakly-coupled planar ABJM theory on R \times S^2.

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