Publication details

Decomposable (6,5)-solutions in 11-dimensional supergravity

Authors

CHRYSIKOS Ioannis GALAEV Anton

Year of publication 2020
Type Article in Periodical
Magazine / Source Classical and Quantum Gravity
Citation
Web https://iopscience.iop.org/article/10.1088/1361-6382/ab87da
Doi http://dx.doi.org/10.1088/1361-6382/ab87da
Keywords 11-dimensional supergravity; bosonic supergravity backgrounds; Walker metrics; isotropic Ricci metrics; Ricci flat manifolds; holonomy theory; M-theory
Description This paper presents a series of constructions providing 11-dimensional bosonic supergravity backgrounds. In particular, we treat Lorentzian manifolds given in terms of twisted products of six-dimensional Lorentzian manifolds and five-dimensional Riemannian manifolds. By considering a representative flux 4-form adapted to this setting, we analyse the system of bosonic supergravity equations and describe the corresponding geometric constraints. The new supergravity backgrounds appear for special cases associated to the adapted flux 4-form. For example, we provide a relation of 11-dimensional supergravity with Ricci-isotropic Walker manifolds, and illustrate several results in their terms and in terms of Ricci-flat Riemannian manifolds.

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