Higher Spin Chern-Simons Theory and the Super Boussinesq hierarchy
High Energy Physics - Theory
2018-06-13 v1 Mathematical Physics
math.MP
Abstract
In this paper we construct a map between a solution of supersymmetric Chern-Simons higher spin gravity based on the superalgebra with Lifshitz scaling and the 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.
Keywords
Cite
@article{arxiv.1709.02345,
title = {Higher Spin Chern-Simons Theory and the Super Boussinesq hierarchy},
author = {Michael Gutperle and Yi Li},
journal= {arXiv preprint arXiv:1709.02345},
year = {2018}
}
Comments
22 pages, no figures