Aspects of Ω-deformed M-theory

We explore the properties of Ω-deformed M-theory, with particular focus on the ${ℂ}_{{ϵ}_1}$ \( {\mathbb{C}}_{\epsilon_1} \) × ${ℂ}_{{ϵ}_2}$ \( {\mathbb{C}}_{\epsilon_2} \) × ${ℂ}_{{ϵ}_3}$ \( {\mathbb{C}}_{\epsilon_3} \) background and coupling to Ω-deformed M2 and M5 brane world-volume theories.