Hasil untuk "math.DS"

Sven Braun

D Farotti, J B Gutowski

Abstract We determine the necessary and sufficient conditions for warped product dS n solutions, 5 ⩽ n ⩽ 10, to preserve supersymmetry in D = 11 supergravity, without assuming factorization of the Killing spinors. We prove that for 7 ⩽ n ⩽ 10, all such solutions are flat, with vanishing four-form. We also show that the only warped product dS 6 solutions are either the maximally supersymmetric AdS 7 × S 4 solution, or R 1 , 6 × N 4 where N 4 is hyperKähler, with vanishing four-form. Supersymmetric warped product dS 5 solutions are then classified; it is shown that all such solutions are generalized M5-brane configurations, for which the transverse space is R × N 4 , and N 4 is a hyperKähler manifold. If the four-form is covariantly constant, then N 4 admits a hyperKähler potential.

Maciej Jeszke, Konrad Trzciński, Jakub Karczewski et al.

Stefan Hollands, Gandalf Lechner

OKEOWO Idowu Adeniyi

Ganesan M, Saravanakumar M

Gordian Konstantin Ebner

Gordian Konstantin Ebner

V. Dmitrašinović

A. G. Akeroyd

S. Ishida