nLab M-theory on Calabi-Yau manifolds

Idea

The KK-compactification of 11-dimensional supergravity/M-theory on Calabi-Yau manifold fibers.

On $CY_3$

For CY fibers of complex dimension 6, this yields the strong coupling version of CY-compactification of type II string theory/type II supergravity (see supersymmetry and Calabi-Yau manifolds).

Leads to 5d supergravity effective field theory and 5d super Yang-Mills theory.

See at 5d supergravity the section Via KK-Compactification of 11d Supergravity

See also at F/M-theory on elliptically fibered Calabi-Yau 3-folds.

On $CY_4$

• F/M-theory on elliptically fibered Calabi-Yau 4-folds

Related concepts

KK-compactification of M-theory

• M-theory on a circle

• M-theory on 8-manifolds/on Spin(7)-manifolds

• M-theory on G₂-manifolds

  • G₂-MSSM

• M-theory on Sp(1)-manifolds

• M-theory on hyperbolic manifolds

• heterotic M-theory on ADE-orbifolds

• M-theory on Calabi-Yau manifolds

  • on CY2-folds

  • on CY3-folds

  • on CY4-folds

  • on CY5-folds

References

• Sergio Ferrara, Ramzi Khuri, Ruben Minasian, M-theory on a Calabi-Yau manifold, Phys. Lett.B 375:81-88, 1996 (arXiv:hep-th/9602102)

• Cyril Closset, Michele Del Zotto, Vivek Saxena, Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective (arXiv:1812.10451)