Ramond-Ramond fields and twisted differential K-theory

Daniel Grady, Hisham Sati

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)1097-1155
Number of pages59
JournalAdvances in Theoretical and Mathematical Physics
Volume26
Issue number5
DOIs
StatePublished - 2022

ASJC Scopus subject areas

  • General Mathematics
  • General Physics and Astronomy

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