Nambu-Sigma model and effective membrane actions

TL;DR

This paper introduces a new effective action for p'-branes with open p-branes ending on them, utilizing Nambu structures to generalize the dual descriptions of brane dynamics and connect to matrix models.

Contribution

It proposes a Nambu sigma model framework that extends the DBI action duality to p-branes, unifying various existing models and introducing novel Nambu structure applications.

Findings

Developed a Nambu sigma model description for p-branes.

Interpolates between known M5-brane actions and matrix model-like actions.

Generalizes open-closed string relations to p-branes using Nambu structures.

Abstract

We propose an effective action for a p'-brane with open p-branes ending on it. The action has dual descriptions similar to the commutative and non-commutative ones of the DBI action for D-branes and open strings. The Poisson structure governing the non-commutativity of the D-brane is replaced by a Nambu structure and the open-closed string relations are generalized to the case of p'-branes utilizing a novel Nambu sigma model description of p-branes. In the case of an M5-brane our action interpolates between M5-actions already proposed in the literature and matrix model like actions involving Nambu structures.