Bosonic D = 11 supergravity from a generalized Chern–Simons action

Jun 27, 2017
20 pages
Published in:
  • Nucl.Phys.B 923 (2017) 633-652
  • Published: Oct, 2017 by Elsevier
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Abstract: (Elsevier)
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) .
Note:
  • Misprints corrected, to appear in NPB plain latex, no figures, 25 pages
  • invariance: gauge
  • differential forms: 3
  • supergravity
  • Chern-Simons term
  • gauge field theory
  • curvature
  • Lorentz
  • scaling