arXiv · 1706.08772
Bosonic D=11 supergravity from a generalized Chern-Simons action
Abstract
It is shown that the action of the bosonic sector of D=11 supergravity may be obtained by means of a suitable scaling of the originally dimensionless fields of a generalized Chern-Simons action. This follows from the eleven-form CS-potential of the most general linear combination of closed, gauge invariant twelve-forms involving the sp(32)-valued two-form curvatures supplemented by a three-form field. In this construction, the role of the skewsymmetric four-index auxiliary function needed for the first order formulation of $D=11$ supergravity is played by the gauge field associated with the five Lorentz indices generator of the bosonic sp(32) subalgebra of osp(1|32).
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D. Camarero, J. A. de Azcarraga, J. M. Izquierdo. 2017-09-06. Bosonic D=11 supergravity from a generalized Chern-Simons action. https://doi.org/10.1016/j.nuclphysb.2017.08.015
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