nLab self-duality for pregeometric RR-fields -- references

Discussion of (Lagrangian densities for) D=10 type II supergravity with “duality-symmetric”/“democratic”/“pregeometric” for of the RR-fields:

Enhancement of the self-duality constraint on pregeometric RR-fields from (twisted) de Rham cohomology to (twisted) topological K-theory (under the hypothesized K-theory classification of D-brane charge) in terms of a quadratic form on differential K-theory:

An indication of a more refined discussion in twisted differential KR-theory:

See at orientifold for more on this.

Expressing the self-duality of pregeometric RR-fields in terms of 11d Chern-Simons theory:

Some review:

  • Richard Szabo, section 3.6 and 4.6 of: Quantization of Higher Abelian Gauge Theory in Generalized Differential Cohomology, ESI 2385 (2012) [[arXiv:1209.2530, pdf]]

Discussion in the context of flux quantization (here: D-brane charge quantization in K-theory):

Last revised on January 27, 2024 at 10:45:01. See the history of this page for a list of all contributions to it.