Geometric Actions for D-Branes and M-Branes

TL;DR

This paper introduces new quadratic-action formulations for D-branes and M-branes that simplify quantization and dualization processes by employing auxiliary metrics, offering a more tractable approach to their dynamics.

Contribution

It presents novel quadratic forms of Born-Infeld, D-brane, and M-theory five-brane actions using auxiliary metrics, simplifying their quantization and dualization.

Findings

New quadratic actions for D-branes and M-branes derived.

Auxiliary metrics enable elimination to recover standard Born-Infeld actions.

Simplifies quantization and dualization of gauge fields.

Abstract

New forms of Born-Infeld, D-brane and M theory five-brane actions are found which are quadratic in the abelian field strength. The gauge fields couple both to a background or induced metric and a new auxiliary metric, whose elimination reproduces the non-polynomial Born-Infeld action. This is similar to the introduction of an auxiliary metric to simplify the Nambu-Goto string action. This simplifies the quantisation and dualisation of the gauge fields.