Aspects of Ω-deformed M-theory

We explore the properties of Ω-deformed M-theory, with particular focus on the ℂϵ1$$ {\mathbb{C}}_{\epsilon_1} $$ × ℂϵ2$$ {\mathbb{C}}_{\epsilon_2} $$ × ℂϵ3$$ {\mathbb{C}}_{\epsilon_3} $$ background and coupling to Ω-deformed M2 and M5 brane world-volume theories.