The Morphology of N=6 Chern-Simons Theory

Abstract

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.

arXiv comment41 pages, 1 figure; v2: minor corrections

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Cited by in corpus (11)

• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory
• On correlation functions of BPS operators in $3d$ $\mathcal{N}=6$ superconformal theories
• Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Factorized Tree-level Scattering in AdS_4 x CP^3
• 1/3 BPS loops and defect CFTs in ABJM theory
• Two-Loop Spectroscopy of Short ABJM Operators
• Sparseness bounds on local operators in holographic $CF{T}_d$
• Probing the Space of Toric Quiver Theories