Aspects of $\Omega$-deformed M-theory

TL;DR

This paper investigates the properties of $ ext{Omega}$-deformed M-theory, focusing on specific complex backgrounds and the coupling to deformed M2 and M5 brane theories, advancing understanding of deformations in M-theory.

Contribution

It introduces a detailed analysis of $ ext{Omega}$-deformation in M-theory and its effects on brane world-volume theories in complex backgrounds.

Findings

Characterization of $ ext{Omega}$-deformed M-theory backgrounds

Coupling mechanisms to $ ext{Omega}$-deformed M2 and M5 branes

Insights into the structure of deformed M-theory configurations

Abstract

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