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Higher spins from Nambu-Chern-Simons theory

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We propose a new theory of higher spin gravity in three spacetime dimensions. This is defined by what we will call a Nambu-Chern-Simons (NCS) action; this is to a Nambu 3-algebra as an ordinary Chern-Simons (CS) action is to a Lie (2-)algebra. The novelty is that the gauge group of this theory is simple; this stands in contrast to previously understood interacting 3D higher spin theories in the frame-like formalism. The NCS action is part of the $N=8$ supersymmetric NCS -matter model (BLG theory); if time allows we will also discuss the implications of our analysis for the BLG model and M-theory.

This talk is part of the Quantum Fields and Strings Seminars series.

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