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arXiv · 1709.02345

Higher Spin Chern-Simons Theory and the Super Boussinesq hierarchy

Michael Gutperle·Yi Li
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Abstract

In this paper we construct a map between a solution of supersymmetric Chern-Simons higher spin gravity based on the superalgebra $sl(3|2)$ with Lifshitz scaling and the $N=2$ super Boussinesq hierarchy. We show that under this map the time evolution equations of both theories coincide. In addition, we identify the Poisson structure of the Chern-Simons theory induced by gauge transformation with the second Hamiltonian structure of the super Boussinesq hierarchy.

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Michael Gutperle, Yi Li. 2017-09-07. Higher Spin Chern-Simons Theory and the Super Boussinesq hierarchy. https://doi.org/10.1142/s0217751x18500859

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