nLab
F/M-theory on elliptically fibered Calabi-Yau 5-folds

Contents

Context

String theory

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Idea

General

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=2D=2, 𝒩=(2,0)\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 Σ\Sigma

dim (Σ)dim_{\mathbb{C}}(\Sigma)12345
F-theoryF-theory on CY2F-theory on CY3F-theory on CY4F-theory on CY5


KK-compactification of M-theory

References

For M-theory and supersymmetric quantum mechanics:

For F-theory and D=2 N=(2,0) SCFT:

Survey:

Created on November 30, 2020 at 04:52:56. See the history of this page for a list of all contributions to it.