nLab self-duality for pregeometric C-field -- references

Formulation of the equations of motion of D=11 supergravity in superspace on fields including a flux density $G_7$ a priori independent of the flux density $G_4$ of the supergravity C-field:

• Leonardo Castellani, Riccardo D'Auria, Pietro Fré, ch III.8.3-III.8.5 in vol 2 of: Supergravity and Superstrings - A Geometric Perspective, World Scientific (1991) [doi:10.1142/0224, epdf, ch III.8: pdf]

  (Using the D'Auria-Fre formulation of supergravity.)

• Antonio Candiello, Kurt Lechner, §6 in: Duality in supergravity theories, Nuclear Physics B 412 3 (1994) 479-501 [doi:10.1016/0550-3213(94)90389-1]

  (These authors seem not to be aware of CDF91, III.8 and, contrary to the result there, conclude that it is not possible without introducing non-local relations.)

Discussion of Lagrangian densities for D=11 supergravity with an a priori independent dual C-field field and introduction of the “duality-symmetric” terminology:

• Igor Bandos, Nathan Berkovits, Dmitri Sorokin, Duality-Symmetric Eleven-Dimensional Supergravity and its Coupling to M-Branes, Nucl. Phys. B 522 (1998) 214-233 [doi:10.1016/S0550-3213(98)00102-3, arXiv:hep-th/9711055]

• Eugene Cremmer, Bernard Julia, H. Lu, Christopher Pope, Section 2 of Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities, Nucl.Phys. B 535 (1998) 242-292 [doi:10.1016/S0550-3213(98)00552-5, arXiv:hep-th/9806106]

• Igor Bandos, Alexei Nurmagambetov, Dmitri Sorokin, Section 2 of: Various Faces of Type IIA Supergravity, Nucl. Phys. B 676 (2004) 189-228 [doi:10.1016/j.nuclphysb.2003.10.036, arXiv:hep-th/0307153]

• Alexei J. Nurmagambetov, The Sigma-Model Representation for the Duality-Symmetric $D=11$ Supergravity, eConf C0306234 (2003) 894-901 [arXiv:hep-th/0312157, inspire:635585]

Discussion in the context of shifted C-field flux quantization:

• SS23, §3.4