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Contents Online
Advances in Theoretical and Mathematical Physics
Volume 26 (2022)
Number 5
Ramond–Ramond fields and twisted differential K-theory
Pages: 1097 – 1155
DOI: https://dx.doi.org/10.4310/ATMP.2022.v26.n5.a2
Authors
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. We illustrate this with the examples of spheres, tori, and Calabi-Yau threefolds.
Published 30 March 2023