Ramond-Ramond fields and twisted differential K-theory
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arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866917694296555520 |
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| author | Grady, Daniel Sati, Hisham |
| author_facet | Grady, Daniel Sati, Hisham |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1903_08843 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Ramond-Ramond fields and twisted differential K-theory Grady, Daniel Sati, Hisham High Energy Physics - Theory Algebraic Topology Differential Geometry K-Theory and Homology 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. |
| title | Ramond-Ramond fields and twisted differential K-theory |
| topic | High Energy Physics - Theory Algebraic Topology Differential Geometry K-Theory and Homology |
| url | https://arxiv.org/abs/1903.08843 |