On supermembrane actions on Calabi-Yau 3-folds

TL;DR

This paper investigates the supermembrane action on Calabi-Yau 3-folds, deriving the Dirac-Born-Infeld component and demonstrating its invariance under rigid spacetime supersymmetry.

Contribution

It provides a detailed formulation of the supermembrane action on Calabi-Yau 3-folds and proves its supersymmetry invariance, advancing understanding of supermembrane dynamics in complex geometries.

Findings

Dirac-Born-Infeld action derived for Calabi-Yau 3-folds

Supersymmetry invariance of the action established

Framework for supermembrane studies on complex manifolds

Abstract

In this note we examine the supermembrane action on Calabi-Yau 3-folds. We write down the Dirac-Born-Infeld part of the action, and show that it is invariant under the rigid spacetime supersymmetry.