Speaker
Prof.
Dmitri Alekseevsky
(Moscow)
Description
We will describe a class of solutions of 11 dimensional supergravity
(M, g_M, F) under the assumption that the Lorentz manifold (M, g_M) is a direct product of a p-dimensional Lorentz manifold (M, g) and q = 11 − p - dimensional Riemann manifold (M ̄,g ̄). We made also some assumption about the structure of the 4-form F and write down and analyze the equa- tions of 11d supergravity in this case under assumption that the manifold (M,g_M,F) is homogeneous. In the case p = 4, we describe all such homo- geneous solutions of 11d decomposable supergravity under assumption that the 4-form is a direct sum of the volume form of a homogeneous Lorentz manifold (M,g) and an invariant 4-form of a compact homogeneous Riemannian manifold (M ̄ , g ̄).
This is a joint work with I. Crysikos and A. Taghavi-Chabert.
Primary author
Prof.
Dmitri Alekseevsky
(Moscow)
