Ramond-Ramond fields and twisted differential K-theory

Autor:	Grady, Daniel, Sati, Hisham
Rok vydání:	2019
Předmět:	High Energy Physics - Theory Mathematics - Algebraic Topology Mathematics - Differential Geometry Mathematics - K-Theory and Homology
Zdroj:	Adv. Theor. Math. Phys. 26 (2022) ,1097-1155
Druh dokumentu:	Working Paper
DOI:	10.4310/ATMP.2022.v26.n5.a2
Popis:	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. Comment: 41 pages, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1903.08843 Zobrazit plný text záznamu View this record from Arxiv