Differential cohomotopy versus differential cohomology for M-theory and differential lifts of Postnikov towers
| Autor: | Hisham Sati, Daniel Grady |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Pure mathematics FOS: Physical sciences General Physics and Astronomy Mathematics::Algebraic Topology 01 natural sciences Mathematics::K-Theory and Homology Consistency (statistics) 0103 physical sciences FOS: Mathematics Algebraic Topology (math.AT) Point (geometry) Mathematics - Algebraic Topology 0101 mathematics Mathematical Physics Mathematics M-theory 010102 general mathematics Tower (mathematics) Cohomology High Energy Physics - Theory (hep-th) Torsion (algebra) 010307 mathematical physics Geometry and Topology Obstruction theory Differential (mathematics) |
| Zdroj: | Journal of Geometry and Physics. 165:104203 |
| ISSN: | 0393-0440 |
| DOI: | 10.1016/j.geomphys.2021.104203 |
| Popis: | We compare the description of the M-theory form fields via cohomotopy versus that via integral cohomology. The conditions for lifting the latter to the former are identified using obstruction theory in the form of Postnikov towers, where torsion plays a central role. A subset of these conditions is shown to correspond compatibly to existing consistency conditions, while the rest are new and point to further consistency requirements for M-theory. Bringing in the geometry leads to a differential refinement of the Postnikov tower, which should be of independent interest. This provides another confirmation that cohomotopy is the proper generalized cohomology theory to describe these fields. Comment: 30 pages, minor corrections and improvements, to appear in Journal of Geometry and Physics |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect