The homogeneity theorem for supergravity backgrounds II: The six-dimensional theories

Abstract

We prove that supersymmetric backgrounds of (1,0) and (2,0) six-dimensional supergravity theories preserving more than one half of the supersymmetry are locally ho- mogeneous. As a byproduct we also establish that the Killing spinors of such a background generate a Lie superalgebra. © The Authors.