Bosonic D=11 supergravity from a generalized Chern-Simons action
High Energy Physics - Theory
2018-03-14 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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 supergravity is played by the gauge field associated with the five Lorentz indices generator of the bosonic sp(32) subalgebra of osp(1|32).
Cite
@article{arxiv.1706.08772,
title = {Bosonic D=11 supergravity from a generalized Chern-Simons action},
author = {D. Camarero and J. A. de Azcarraga and J. M. Izquierdo},
journal= {arXiv preprint arXiv:1706.08772},
year = {2018}
}
Comments
Misprints corrected, to appear in NPB plain latex, no figures, 25 pages