## Abstract

We provide a systematic approach to describing the Ramond-Ramond (RR) fields as elements in twisted differential K-theory. This builds on a series of constructions by the authors on geometric and computational aspects of twisted differential K-theory, which to a large extent were originally motivated by this problem. In addition to providing a new conceptual framework and a mathematically solid setting, this allows us to uncover interesting and novel effects. Explicitly, we use our recently constructed Atiyah-Hirzebruch spectral sequence (AHSS) for twisted differential K-theory to characterize the RR fields and their quantization, which involves interesting interplay between geometric and topological data.

Original language | English (US) |
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Pages (from-to) | 1097-1155 |

Number of pages | 59 |

Journal | Advances in Theoretical and Mathematical Physics |

Volume | 26 |

Issue number | 5 |

DOIs | |

State | Published - 2022 |

## ASJC Scopus subject areas

- Mathematics(all)
- Physics and Astronomy(all)