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arXiv · 1903.08843

Ramond-Ramond fields and twisted differential K-theory

Daniel Grady·Hisham Sati
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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.

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BibTeXRIS

Daniel Grady, Hisham Sati. 2019-03-21. Ramond-Ramond fields and twisted differential K-theory. https://doi.org/10.4310/atmp.2022.v26.n5.a2

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