nLab
M-theory on hyperbolic manifolds

Context

String theory

Riemannian geometry

Contents

Idea

The Kaluza-Klein compactification of 11-dimensional supergravity/M-theory on fibers which are hyperbolic manifolds.

This appears naturally as the near horizon geometry of S-branes, see there. Then there are M5-branes wrapped on hyperbolic 3-manifolds yielding the 3d-3d correspondence (Gang-Kim-Lee 15, (2.2)).

KK-compactification of M-theory

References

See also

Discussion on M5-branes wrapped on hyperbolic 3-space in the context of 3d-3d correspondence:

Discussion in a context of cosmology with an eye towards de Sitter spacetimes: