J 2020

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

CHRYSIKOS, Ioannis and Anton GALAEV

Basic information

Original name

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

Edition

Classical and Quantum Gravity, Institute of Physics, 2020, 0264-9381

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 3.528

UT WoS

000538528500001

Keywords in English

11-dimensional supergravity; bosonic supergravity backgrounds; Walker metrics; isotropic Ricci metrics; Ricci flat manifolds; holonomy theory; M-theory

Tags

Tags

International impact, Reviewed
Změněno: 26/5/2023 11:35, Mgr. Marie Šípková, DiS.

Abstract

V originále

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.