Notophs of N = 8 supergravity
Abstract
We study the tensor gauge fields ("notophs") of ungauged N=8 D=4 supergravity in superspace. These are described by 2-form potentials in the adjoint representation of G=E(7(+7)). The consistency of the natural candidates for the superspace constraints for their field strengths fixes the form of the generalized Bianchi identities and also requires the potentials with indices of G/H=E(7(+7))/SU(8) generators to be dual to the scalars of the N=8,D=4 supergravity multiplet. In contrast, the field strengths of the 2-form potentials corresponding to the SU(8) generators are dual to fermionic bilinears, so that these potentials are auxiliary rather than physical fields. Their presence, however, is essential to formulate a tensor hierarchy of N=8,D=4 supergravity consistent with its U-duality group E(7(+7)).
Keywords
Cite
@article{arxiv.1502.00649,
title = {Notophs of N = 8 supergravity},
author = {Igor Bandos and Tomas Ortın},
journal= {arXiv preprint arXiv:1502.00649},
year = {2015}
}
Comments
19 pages. V2. few references and acknowledgments added, few misprints corrected. Published in Phys.Rev.D under the title "Tensor gauge fields of N=8 supergravity." The title of published version has been changed by editors