Branes in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry

TL;DR

This paper introduces a new framework for brane worldvolume theories using extended field theories like double and exceptional field theory, successfully reproducing known brane actions and proposing a potential new M5-brane formulation.

Contribution

It develops a novel approach to brane worldvolume theories based on duality symmetry and extended geometries, unifying and extending previous formulations.

Findings

Reproduces bosonic string and membrane actions

Derives M5-brane action in weak-field approximation

Proposes a new, consistent M5-brane action without approximation

Abstract

We propose a novel approach to the brane worldvolume theory based on the geometry of extended field theories: double field theory and exceptional field theory. We demonstrate the effectiveness of this approach by showing that one can reproduce the conventional bosonic string and membrane actions, and the M5-brane action in the weak-field approximation. At a glance, the proposed 5-brane action without approximation looks different from the known M5-brane actions, but it is consistent with the known nonlinear self-duality relation, and it may provide a new formulation of a single M5-brane action. Actions for exotic branes are also discussed.