group cohomology, nonabelian group cohomology, Lie group cohomology
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
The KK flux compactification of M-theory/F-theory on an elliptically fibered Calabi-Yau variety of (complex) dimension 5 (hence real dimension 10) yields, on the F-theory side, type IIB superstring theory (with some S-duality-related non-perturbative effects included) KK-compactified on Calabi-Yau 4-folds, and hence $D=2$, $\mathcal{N}=(2,0)$ QFTs such as D=2 N=(2,0) SCFT, T-dual, on the M-theory-side, to supersymmetric quantum mechanics (see also: BFSS matrix model and E10).
F-theory KK-compactified on elliptically fibered complex analytic fiber $\Sigma$
$dim_{\mathbb{C}}(\Sigma)$ | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
F-theory | F-theory on CY2 | F-theory on CY3 | F-theory on CY4 | F-theory on CY5 |
For M-theory and supersymmetric quantum mechanics:
For F-theory and D=2 N=(2,0) SCFT:
Survey:
Created on November 30, 2020 at 09:52:56. See the history of this page for a list of all contributions to it.