nLab M-theory on Sp(1)-manifolds

Idea

The KK-compactification of M-theory/string theory on spacetime manifolds with G-structure for $G =$ Sp(1), notably on the product space $K3 \times T2$ of a K3-surface with a 2-torus.

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

For type IIA string theory:

• Bastiaan Spanjaard, Compactifications of IIA Supergravity on $SU(2)$-Structure Manifolds, 2008 (pdf)

• Thomas Danckaert, Type IIA orientifolds on $SU(2)$-structure Manifolds, 2010 (pdf)

• Thomas Danckaert, Jan Louis, Type IIA orientifold compactification on SU(2)-structure manifolds, JHEP 1001:105, 2010 (arXiv:0911.5697)

For heterotic string theory:

• Jan Louis, Danny Martinez-Pedrera, Andrei Micu, Heterotic compactifications on SU(2)-structure backgrounds, JHEP 0909:012, 2009 (arXiv:0907.3799)